This volume mainly focuses on various comprehensive topological theories, with the exception of a paper on combinatorial topology versus point-set topology by I.M. James and a paper on the history of the normal Moore space problem by P. Nyikos. The history of the following theories is given: pointfree topology, locale and frame theory (P. Johnstone), non-symmetric distances in topology (H.-P. Künzi), categorical topology and topological constructs (E. Lowen-Colebunders and B. Lowen), topological groups (M. G. Tkacenko) and finally shape theory (S. Mardesic and J. Segal). Together with the first two volumes, this work focuses on the history of topology, in all its aspects. It is unique and presents important views and insights into the problems and development of topological theories and applications of topological concepts, and into the life and work of topologists. As such, it will encourage not only further study in the history of the subject, but also further mathematical research in the field. It is an invaluable tool for topology researchers and topology teachers throughout the mathematical world.
Handbook of the History of General Topology: 3
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Inside This Book
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First Sentence:
Outside Europe the situation varied from country to country. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
paratopological group, hereditarily precompact, free topological groups, bitopological spaces, regular ordered spaces, pseudocompact groups, completely regular ordered space, uniform limit spaces, countable pseudocharacter, merotopic spaces, ordered compactifications, supremum uniformity, countable paracompactness, pronilpotent group, pseudocompact topological groups, strong shape theory, strong shape category, topological hull, transitive entourages, totally bounded group, collectionwise normality, localic groups, locale theory, pseudotopological spaces, first countable topological group Key Phrases - Capitalized Phrases (CAPs): (learn more)
Topology Appl, New York, Pure Appl, Acta Math, Lecture Notes Math, Cahiers Top, London Math, Topology Proc, Uspekhy Mat, Applied Categ, Heldermann Verlag, Soviet Math, Studia Sci, University of Cape Town, Pontryagin-van Kampen, Russian Math, Duke Math, Springer Verlag, Quaestiones Math, Doklady Akad, Akademie Verlag, American Mathematical Society, Czechoslovak Math, Glasnik Mat, Kluwer Academic Publishers New!
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Outside Europe the situation varied from country to country. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
paratopological group, hereditarily precompact, free topological groups, bitopological spaces, regular ordered spaces, pseudocompact groups, completely regular ordered space, uniform limit spaces, countable pseudocharacter, merotopic spaces, ordered compactifications, supremum uniformity, countable paracompactness, pronilpotent group, pseudocompact topological groups, strong shape theory, strong shape category, topological hull, transitive entourages, totally bounded group, collectionwise normality, localic groups, locale theory, pseudotopological spaces, first countable topological group Key Phrases - Capitalized Phrases (CAPs): (learn more)
Topology Appl, New York, Pure Appl, Acta Math, Lecture Notes Math, Cahiers Top, London Math, Topology Proc, Uspekhy Mat, Applied Categ, Heldermann Verlag, Soviet Math, Studia Sci, University of Cape Town, Pontryagin-van Kampen, Russian Math, Duke Math, Springer Verlag, Quaestiones Math, Doklady Akad, Akademie Verlag, American Mathematical Society, Czechoslovak Math, Glasnik Mat, Kluwer Academic Publishers New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 48
books:
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- Handbook of Set-Theoretic Topology by Kenneth Kunen on 6 pages
- Abstract Harmonic Analysis: Volume 2: Structure and Analysis for Compact Groups. Analysis on Locally Compact Abelian Groups (Grundlehren der mathematischen Wissenschaften) (v. 2) by Edwin Hewitt on page 216, page 248, and page 56
- A Century of Mathematics in America, Part 1 (History of Mathematics, Vol. 1) by Peter Duren on page 19, page 20, and page 21
- General Topology by Rysxard Engelking in Front Matter, page 135, and page 54
- Ordered Cones and Approximation (Lecture Notes in Mathematics) by Klaus Keimel on page 119, and page 141
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