General Topology and Its Relations to Modern Analysis and Algebra 2

General Topology and Its Relations to Modern Analysis and Algebra 2 PDF Author: Z. Frolík
Publisher: Academic Press
ISBN: 1483223531
Category : Mathematics
Languages : en
Pages : 366

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Book Description
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.

General Topology and Its Relations to Modern Analysis and Algebra 2

General Topology and Its Relations to Modern Analysis and Algebra 2 PDF Author: Z. Frolík
Publisher: Academic Press
ISBN: 1483223531
Category : Mathematics
Languages : en
Pages : 366

Get Book Here

Book Description
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.

General Topology and Its Relations to Modern Analysis and Algebra IV

General Topology and Its Relations to Modern Analysis and Algebra IV PDF Author: J. Novak
Publisher: Springer
ISBN: 3540371087
Category : Mathematics
Languages : en
Pages : 246

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Book Description


General Topology and Its Relations to Modern Analysis and Algebra IV: Invited papers

General Topology and Its Relations to Modern Analysis and Algebra IV: Invited papers PDF Author: Josef Novák
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 252

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Book Description
Part A contains 19 invited papers from the Fourth Symposium on General Topology and its Relations to Modern Analysis and Algebra.

General Topology and Its Relations to Modern Analysis and Algebra

General Topology and Its Relations to Modern Analysis and Algebra PDF Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 342

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Book Description


General Topology and Its Relations to Modern Analysis and Algebra V

General Topology and Its Relations to Modern Analysis and Algebra V PDF Author: Josef Novák
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 750

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Book Description


General Topology and Its Relations to Modern Analysis and Algebra

General Topology and Its Relations to Modern Analysis and Algebra PDF Author: Josef Novák
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 372

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Book Description


TOPO 72 - General Topology and its Applications

TOPO 72 - General Topology and its Applications PDF Author: R.A. Alo
Publisher: Springer
ISBN: 3540383239
Category : Mathematics
Languages : en
Pages : 669

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Book Description
Sponsored by Carnegie-Mellon University and the University of Pittsburgh

Beyond Topology

Beyond Topology PDF Author: FrŽdŽric Mynard
Publisher: American Mathematical Soc.
ISBN: 082184279X
Category : Mathematics
Languages : en
Pages : 395

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Book Description
The purpose of this collection is to guide the non-specialist through the basic theory of various generalizations of topology, starting with clear motivations for their introduction. Structures considered include closure spaces, convergence spaces, proximity spaces, quasi-uniform spaces, merotopic spaces, nearness and filter spaces, semi-uniform convergence spaces, and approach spaces. Each chapter is self-contained and accessible to the graduate student, and focuses on motivations to introduce the generalization of topologies considered, presenting examples where desirable properties are not present in the realm of topologies and the problem is remedied in the more general context. Then, enough material will be covered to prepare the reader for more advanced papers on the topic. While category theory is not the focus of the book, it is a convenient language to study these structures and, while kept as a tool rather than an object of study, will be used throughout the book. For this reason, the book contains an introductory chapter on categorical topology.

General Topology and Its Relations to Modern Analysis and Algebra IV

General Topology and Its Relations to Modern Analysis and Algebra IV PDF Author: Josef Novák
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 548

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Book Description


Topological Groups and the Pontryagin-van Kampen Duality

Topological Groups and the Pontryagin-van Kampen Duality PDF Author: Lydia Außenhofer
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110654938
Category : Mathematics
Languages : en
Pages : 392

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Book Description
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.