Abstract Homotopy And Simple Homotopy Theory
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Abstract Homotopy And Simple Homotopy Theory
Author | : K Heiner Kamps,Timothy Porter |
Publsiher | : World Scientific |
Total Pages | : 476 |
Release | : 1997-04-11 |
Genre | : Mathematics |
ISBN | : 9789814502559 |
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The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.g. spaces over a fixed base, groupoids, chain complexes, module categories). Studying categorical versions of homotopy structure, such as cylinders and path space constructions, enables not only a unified development of many examples of known homotopy theories but also reveals the inner working of the classical spatial theory. This demonstrates the logical interdependence of properties (in particular the existence of certain Kan fillers in associated cubical sets) and results (Puppe sequences, Vogt's Iemma, Dold's theorem on fibre homotopy equivalences, and homotopy coherence theory).
Abstract Homotopy and Simple Homotopy Theory
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Author | : K. H. Kamps,T. Porter |
Publsiher | : Unknown |
Total Pages | : 56 |
Release | : 1986 |
Genre | : Electronic Book |
ISBN | : OCLC:897690143 |
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Abstract Homotopy and Simple Homotopy Theory
Author | : Klaus Heiner Kamps,Timothy Porter |
Publsiher | : World Scientific |
Total Pages | : 474 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9810216025 |
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"This book provides a thorough and well-written guide to abstract homotopy theory. It could well serve as a graduate text in this topic, or could be studied independently by someone with a background in basic algebra, topology, and category theory."
Relation Between Abstract Homotopy and Geometric Homotopy
Author | : Sadanand Verma |
Publsiher | : Unknown |
Total Pages | : 242 |
Release | : 1959 |
Genre | : Homotopy theory |
ISBN | : UOM:39015095249341 |
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Abstract Homotopy Theory
Author | : S. S. Koh |
Publsiher | : Unknown |
Total Pages | : 426 |
Release | : 1960 |
Genre | : Homotopy theory |
ISBN | : UOM:39015095258474 |
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Categorical Homotopy Theory
Author | : Emily Riehl |
Publsiher | : Cambridge University Press |
Total Pages | : 371 |
Release | : 2014-05-26 |
Genre | : Mathematics |
ISBN | : 9781107048454 |
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This categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.
Homotopy Type Theory Univalent Foundations of Mathematics
Author | : Anonim |
Publsiher | : Univalent Foundations |
Total Pages | : 484 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9182736450XXX |
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Controlled Simple Homotopy Theory and Applications
Author | : T. A. Chapman |
Publsiher | : Springer |
Total Pages | : 94 |
Release | : 1983-07-01 |
Genre | : Mathematics |
ISBN | : 3540123385 |
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