# Open Problems In Topology Ii

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## Open Problems in Topology II

Author | : Elliott M. Pearl |

Publsiher | : Elsevier |

Total Pages | : 776 |

Release | : 2011-08-11 |

ISBN | : 9780080475295 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Open Problems in Topology II Book Excerpt:**

This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research problems in topology * New perspectives on classic problems * Representative surveys of research groups from all around the world

## Recent Progress in General Topology III

Author | : K.P. Hart,J. van Mill,P. Simon |

Publsiher | : Springer Science & Business Media |

Total Pages | : 903 |

Release | : 2013-12-11 |

ISBN | : 946239024X |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Recent Progress in General Topology III Book Excerpt:**

The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems.

## Recent Progress in General Topology II

Author | : M. Husek,J. van Mill |

Publsiher | : Elsevier |

Total Pages | : 652 |

Release | : 2002-11-13 |

ISBN | : 0444509801 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Recent Progress in General Topology II Book Excerpt:**

The book presents surveys describing recent developments in most of the primary subfields of General Topology and its applications to Algebra and Analysis during the last decade. It follows freely the previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984). The book was prepared in connection with the Prague Topological Symposium, held in 2001. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs slightly from those chosen in 1992. The following areas experienced significant developments: Topological Groups, Function Spaces, Dimension Theory, Hyperspaces, Selections, Geometric Topology (including Infinite-Dimensional Topology and the Geometry of Banach Spaces). Of course, not every important topic could be included in this book. Except surveys, the book contains several historical essays written by such eminent topologists as: R.D. Anderson, W.W. Comfort, M. Henriksen, S. Mardeŝić, J. Nagata, M.E. Rudin, J.M. Smirnov (several reminiscences of L. Vietoris are added). In addition to extensive author and subject indexes, a list of all problems and questions posed in this book are added. List of all authors of surveys: A. Arhangel'skii, J. Baker and K. Kunen, H. Bennett and D. Lutzer, J. Dijkstra and J. van Mill, A. Dow, E. Glasner, G. Godefroy, G. Gruenhage, N. Hindman and D. Strauss, L. Hola and J. Pelant, K. Kawamura, H.-P. Kuenzi, W. Marciszewski, K. Martin and M. Mislove and M. Reed, R. Pol and H. Torunczyk, D. Repovs and P. Semenov, D. Shakhmatov, S. Solecki, M. Tkachenko.

## Set Theory and Its Applications

Author | : Liljana Babinkostova |

Publsiher | : American Mathematical Soc. |

Total Pages | : 330 |

Release | : 2011 |

ISBN | : 0821848127 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Set Theory and Its Applications Book Excerpt:**

This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.

## A Cp Theory Problem Book

Author | : Vladimir V. Tkachuk |

Publsiher | : Springer |

Total Pages | : 727 |

Release | : 2016-04-05 |

ISBN | : 3319243853 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**A Cp Theory Problem Book Book Excerpt:**

This fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research. The book presents complete and up-to-date information on the preservation of topological properties by homeomorphisms of function spaces. An exhaustive theory of t-equivalent, u-equivalent and l-equivalent spaces is developed from scratch. The reader will also find introductions to the theory of uniform spaces, the theory of locally convex spaces, as well as the theory of inverse systems and dimension theory. Moreover, the inclusion of Kolmogorov's solution of Hilbert's Problem 13 is included as it is needed for the presentation of the theory of l-equivalent spaces. This volume contains the most important classical results on functional equivalencies, in particular, Gul'ko and Khmyleva's example of non-preservation of compactness by t-equivalence, Okunev's method of constructing l-equivalent spaces and the theorem of Marciszewski and Pelant on u-invariance of absolute Borel sets.

## Ischia Group Theory 2010

Author | : Mariagrazia Bianchi,Mariagrazia Bianchi Oddera,Patrizia Longobardi,Mercede Maj |

Publsiher | : World Scientific |

Total Pages | : 416 |

Release | : 2012 |

ISBN | : 9814350389 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Ischia Group Theory 2010 Book Excerpt:**

The papers in this volume represent the proceedings of the Conference entitled "Ischia Group Theory 2010," which took place at NH Ischia Thermal SPA Resort, Ischia, Naples, Italy, from April 14 to April 17, 2010. The articles in this volume are contributions by speakers and participants of the Conference. The volume contains a collection of research articles by leading experts in group theory and some accessible surveys of recent research in the area. Together they provide an overview of the diversity of themes and applications that interest group theorists today. Topics covered in this volume include: finite p-groups, character and representation theory, combinatorial group theory, varieties of groups, profinite and pro-p-groups, linear groups, graphs connected with groups, subgroup structure, finiteness conditions, radical rings, conjugacy classes, automorphisms.

## Open Problems in Topology

Author | : J. van Mill,George M. Reed |

Publsiher | : North Holland |

Total Pages | : 716 |

Release | : 1990 |

ISBN | : 1928374650XXX |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Open Problems in Topology Book Excerpt:**

From the Introduction: This volume grew from a discussion by the editors on the difficulty of finding good thesis problems for graduate students in topology. Although at any given time we each had our own favorite problems, we acknowledged the need to offer students a wider selection from which to choose a topic peculiar to their interests. One of us remarked, 'Wouldn't it be nice to have a book of current unsolved problems always available to pull down from the shelf?' The other replied 'Why don't we simply produce such a book?' Two years later and not so simply, here is the resulting volume. The intent is to provide not only a source book for thesis-level problems but also a challenge to the best researchers in the field.

## History of Topology

Author | : I.M. James |

Publsiher | : Elsevier |

Total Pages | : 1056 |

Release | : 1999-08-24 |

ISBN | : 9780080534077 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**History of Topology Book Excerpt:**

Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards. As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.

## Topology and Borel Structure

Author | : Anonim |

Publsiher | : Elsevier |

Total Pages | : 130 |

Release | : 2011-08-26 |

ISBN | : 9780080871219 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Topology and Borel Structure Book Excerpt:**

Topology and Borel Structure

## Selection Principles and Covering Properties in Topology

Author | : Ljubiša D. R. Kočinac |

Publsiher | : Unknown |

Total Pages | : 304 |

Release | : 2006 |

ISBN | : 1928374650XXX |

Category | : Music |

Language | : EN, FR, DE, ES & NL |

**Selection Principles and Covering Properties in Topology Book Excerpt:**

## Mathematical Reviews

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 892 |

Release | : 2008 |

ISBN | : 1928374650XXX |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Mathematical Reviews Book Excerpt:**

## Fundamenta Mathematicae

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 2010 |

ISBN | : 1928374650XXX |

Category | : Electronic journals |

Language | : EN, FR, DE, ES & NL |

**Fundamenta Mathematicae Book Excerpt:**

## Partition Problems in Topology

Author | : Stevo Todorcevic |

Publsiher | : American Mathematical Soc. |

Total Pages | : 116 |

Release | : 1989 |

ISBN | : 0821850911 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Partition Problems in Topology Book Excerpt:**

This book presents results on the case of the Ramsey problem for the uncountable: When does a partition of a square of an uncountable set have an uncountable homogeneous set? This problem most frequently appears in areas of general topology, measure theory, and functional analysis. Building on his solution of one of the two most basic partition problems in general topology, the ``S-space problem,'' the author has unified most of the existing results on the subject and made many improvements and simplifications. The first eight sections of the book require basic knowldege of naive set theory at the level of a first year graduate or advanced undergraduate student. The book may also be of interest to the exclusively set-theoretic reader, for it provides an excellent introduction to the subject of forcing axioms of set theory, such as Martin's axiom and the Proper forcing axiom.

## CMUC

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 2017 |

ISBN | : 1928374650XXX |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**CMUC Book Excerpt:**

## Russian Mathematical Surveys

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 772 |

Release | : 1997 |

ISBN | : 1928374650XXX |

Category | : Mathematicians |

Language | : EN, FR, DE, ES & NL |

**Russian Mathematical Surveys Book Excerpt:**

## Discrete Geometry for Computer Imagery

Author | : Achille Braquelaire,Jacques-Olivier Lauchaud,Anne Vialard |

Publsiher | : Springer Science & Business Media |

Total Pages | : 450 |

Release | : 2002-03-20 |

ISBN | : 3540433805 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Discrete Geometry for Computer Imagery Book Excerpt:**

This book constitutes the refereed proceedings of the 10th International Conference on Digital Geometry for Computer Imagery, DGCI 2002, held in Bordeaux, France, in April 2002. The 22 revised full papers and 13 posters presented together with 3 invited papers were carefully reviewed and selected from 67 submissions. The papers are organized in topical sections on topology, combinatorial image analysis, morphological analysis, shape representation, models for discrete geometry, segmentation and shape recognition, and applications.

## Advanced Studies in Contemporary Mathematics

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 2008 |

ISBN | : 1928374650XXX |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Advanced Studies in Contemporary Mathematics Book Excerpt:**

## Recent Progress in General Topology

Author | : M. Husek,J. van Mill |

Publsiher | : North Holland |

Total Pages | : 816 |

Release | : 1992-11-20 |

ISBN | : 1928374650XXX |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Recent Progress in General Topology Book Excerpt:**

These papers survey the developments in General Topology and the applications of it which have taken place since the mid 1980s. The book may be regarded as an update of some of the papers in the Handbook of Set-Theoretic Topology (eds. Kunen/Vaughan, North-Holland, 1984), which gives an almost complete picture of the state of the art of Set Theoretic Topology before 1984. In the present volume several important developments are surveyed that surfaced in the period 1984-1991. This volume may also be regarded as a partial update of Open Problems in Topology (eds. van Mill/Reed, North-Holland, 1990). Solutions to some of the original 1100 open problems are discussed and new problems are posed.

## American Book Publishing Record

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 1990 |

ISBN | : 1928374650XXX |

Category | : United States |

Language | : EN, FR, DE, ES & NL |

**American Book Publishing Record Book Excerpt:**

## A Cp Theory Problem Book

Author | : Vladimir V. Tkachuk |

Publsiher | : Springer Science & Business Media |

Total Pages | : 488 |

Release | : 2011-03-23 |

ISBN | : 1441974423 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**A Cp Theory Problem Book Book Excerpt:**

The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.