Abstract homotopy and simple homotopy theory:
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 struc...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c1997
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | 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) |
| Physical Description: | ix, 462 p. ill |
| ISBN: | 9789812831989 |
Staff View
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| 520 | |a 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) | ||
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| dewey-ones | 514 - Topology |
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| id | DE-604.BV044636935 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:50Z |
| institution | BVB |
| isbn | 9789812831989 |
| language | English |
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| physical | ix, 462 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1997 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Kamps, Klaus Heiner Verfasser aut Abstract homotopy and simple homotopy theory K.H. Kamps, T. Porter Singapore World Scientific Pub. Co. c1997 ix, 462 p. ill txt rdacontent c rdamedia cr rdacarrier 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) Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 s 1\p DE-604 Porter, T. 1947- Sonstige oth Erscheint auch als Druck-Ausgabe 9789810216023 Erscheint auch als Druck-Ausgabe 9810216025 http://www.worldscientific.com/worldscibooks/10.1142/2215#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kamps, Klaus Heiner Abstract homotopy and simple homotopy theory Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4128142-1 |
| title | Abstract homotopy and simple homotopy theory |
| title_auth | Abstract homotopy and simple homotopy theory |
| title_exact_search | Abstract homotopy and simple homotopy theory |
| title_full | Abstract homotopy and simple homotopy theory K.H. Kamps, T. Porter |
| title_fullStr | Abstract homotopy and simple homotopy theory K.H. Kamps, T. Porter |
| title_full_unstemmed | Abstract homotopy and simple homotopy theory K.H. Kamps, T. Porter |
| title_short | Abstract homotopy and simple homotopy theory |
| title_sort | abstract homotopy and simple homotopy theory |
| topic | Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Homotopy theory Homotopietheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2215#t=toc |
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