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Author : J Novak
Publisher : Springer
Page : 248 pages
File Size : 50,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662182564
Author : J. Novak
Publisher : Springer
Page : 246 pages
File Size : 41,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540371083
Author : Society of Czechoslovak Mathematicians and Physicists
Publisher : Unknown
Page : 225 pages
File Size : 47,5 Mb
Release : 1977
Category : Electronic
ISBN : OCLC:552415831
Author : Josef Novák
Publisher : Unknown
Page : 252 pages
File Size : 54,8 Mb
Release : 1977
Category : Algebra
ISBN : UOM:39015049381307
Part A contains 19 invited papers from the Fourth Symposium on General Topology and its Relations to Modern Analysis and Algebra.
Author : Josef Novák
Publisher : Unknown
Page : 225 pages
File Size : 47,9 Mb
Release : 1977
Category : Algebra
ISBN : LCCN:77011622
Author : Josef Novák
Publisher : Unknown
Page : 540 pages
File Size : 47,6 Mb
Release : 1977
Category : Algebra
ISBN : 0387084371
Author : Z. Frolík,M. Katětov,V. Pták
Publisher : Academic Press
Page : 366 pages
File Size : 40,9 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483223537
General Topology and Its Relations to Modern Analysis and Algebra II is comprised of papers presented at the Second Symposium on General Topology and its Relations to Modern Analysis and Algebra, held in Prague in September 1966. The book contains expositions and lectures that discuss various subject matters in the field of General Topology. The topics considered include the algebraic structure for a topology; the projection spectrum and its limit space; some special methods of homeomorphism theory in infinite-dimensional topology; types of ultrafilters on countable sets; the compactness operator in general topology; and the algebraic generalization of the topological theorems of Bolzano and Weierstrass. This publication will be found useful by all specialists in the field of Topology and mathematicians interested in General Topology.
Author : Josef Novák
Publisher : Unknown
Page : 548 pages
File Size : 49,9 Mb
Release : 1977
Category : Algebra
ISBN : UOM:39015049381323
Author : Josef Novák
Publisher : Unknown
Page : 750 pages
File Size : 51,6 Mb
Release : 1983
Category : Algebra
ISBN : UOM:39015017338594
Author : C.E. Aull,R. Lowen
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 43,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401704687
This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.
Author : M. Husek,J. van Mill
Publisher : Elsevier
Page : 808 pages
File Size : 40,7 Mb
Release : 1992-11-20
Category : Mathematics
ISBN : 9780080934433
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.
Author : R.A. Alo,R.W. Heath,J. Nagata
Publisher : Springer
Page : 669 pages
File Size : 43,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540383239
Sponsored by Carnegie-Mellon University and the University of Pittsburgh
Author : George M. Reed
Publisher : Academic Press
Page : 572 pages
File Size : 47,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483263861
Surveys in General Topology presents topics relating to general topology ranging from closed mappings and ultrafilters to covering and separation properties of box products. Ordered topological spaces and the use of combinatorial techniques in functional analysis are also considered, along with product spaces and weakly compact subsets of Banach spaces. Applications of stationary sets in topology are presented as well. Comprised of 15 chapters, this volume begins with an analysis of some of the techniques and results in the area of closed mappings, followed by a discussion on the theory of ultrafilters. The reader is then introduced to the question of when a box product of compact spaces is paracompact, and how badly a box product of compact or metrizable spaces can fail to be normal. Subsequent chapters focus on the transfinite dimension; the properties of metacompactness, submetacompactness, and subparacompactness; the dimension of ordered topological spaces; the use of combinatorial techniques for the treatment and solution of fundamental problems in functional analysis, particularly in the isomorphic theory of Banach spaces; and order-theoretic base axioms. This monograph will be of significant value both to researchers in general topology and to mathematicians outside the field who wish an overview of current topics and techniques.
Author : Lydia Außenhofer,Dikran Dikranjan,Anna Giordano Bruno
Publisher : Walter de Gruyter GmbH & Co KG
Page : 392 pages
File Size : 42,5 Mb
Release : 2021-11-22
Category : Mathematics
ISBN : 9783110654936
This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem. Further related topics and applications are treated in separate chapters and in the appendix.
Author : J. de Vries
Publisher : Springer Science & Business Media
Page : 762 pages
File Size : 47,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401581714
This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.