Handbook of Set-Theoretic Topology
Handbook of Set-Theoretic Topology

Author: K. Kunen

Publisher: Elsevier

Published: 2014-06-28

Total Pages: 1282

ISBN-13: 148329515X

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This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest. In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.

Set-Theoretic Topology
Set-Theoretic Topology

Author: George M. Reed

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 453

ISBN-13: 1483263924

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Set-Theoretic Topology deals with results concerning set theoretic topology and indicates directions for further investigations. Topics covered include normality and conditions in abstract spaces, compactifications, cardinal invariance, mapping theory, product spaces, and metrization. Comprised of 29 chapters, this volume begins with an example concerning the preservation of the Lindelöf property in product spaces, followed by a discussion on closed-completeness in spaces with a quasi-G? diagonal and with weak covering properties. The reader is then introduced to countably compact extensions of normal locally compact M-spaces; continuously semi-metrizable spaces; and closed discrete collections of singular cardinality. Subsequent chapters focus on open mapping theory; a selection-theoretic approach to certain extension theorems; semicompletable Moore spaces; and non-normal spaces. The book also considers complete mappings in base of countable order theory before concluding with an analysis of locally separable Moore spaces. This monograph should be of value to students, researchers, and specialists in the field of mathematics.

Lectures on Set Theoretic Topology
Lectures on Set Theoretic Topology

Author: Mary Ellen Rudin

Publisher: American Mathematical Soc.

Published: 1975-12-31

Total Pages: 82

ISBN-13: 082181673X

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This survey presents some recent results connecting set theory with the problems of general topology, primarily giving the applications of classical set theory in general topology and not considering problems involving large numbers. The lectures are completely self-contained--this is a good reference book on modern questions of general topology and can serve as an introduction to the applications of set theory and infinite combinatorics.

Point Set Topology
Point Set Topology

Author: Steven A. Gaal

Publisher: Courier Corporation

Published: 2009-04-23

Total Pages: 338

ISBN-13: 0486472221

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Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.

Elementary Concepts of Topology
Elementary Concepts of Topology

Author: Paul Alexandroff

Publisher: Courier Corporation

Published: 2012-08-13

Total Pages: 68

ISBN-13: 0486155064

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Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.

Open Problems in Topology II
Open Problems in Topology II

Author: Elliott M. Pearl

Publisher: Elsevier

Published: 2011-08-11

Total Pages: 777

ISBN-13: 0080475299

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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