Strong Shape and Homology:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2000
|
| Series: | Springer Monographs in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces. Besides applications in topology, it has interesting applications in various other areas of mathematics, especially in dynamical systems and C*-algebras. Strong shape is a refinement of ordinary shape with distinct advantages over the latter. Strong homology generalizes Steenrod homology and is an invariant of strong shape. The book gives a detailed account based on approximation of spaces by polyhedra (ANRs) using the technique of inverse systems. It is intended for researchers and graduate students. Special care is devoted to motivation and bibliographic notes |
| Physical Description: | 1 Online-Ressource (XII, 489 p) |
| ISBN: | 9783662130643 9783642085468 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-662-13064-3 |
Staff View
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Record in the Search Index
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| id | DE-604.BV042423494 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662130643 9783642085468 |
| issn | 1439-7382 |
| language | English |
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| physical | 1 Online-Ressource (XII, 489 p) |
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| publishDate | 2000 |
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| publisher | Springer Berlin Heidelberg |
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| series2 | Springer Monographs in Mathematics |
| spelling | Mardešić, Sibe Verfasser aut Strong Shape and Homology by Sibe Mardešić Berlin, Heidelberg Springer Berlin Heidelberg 2000 1 Online-Ressource (XII, 489 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces. Besides applications in topology, it has interesting applications in various other areas of mathematics, especially in dynamical systems and C*-algebras. Strong shape is a refinement of ordinary shape with distinct advantages over the latter. Strong homology generalizes Steenrod homology and is an invariant of strong shape. The book gives a detailed account based on approximation of spaces by polyhedra (ANRs) using the technique of inverse systems. It is intended for researchers and graduate students. Special care is devoted to motivation and bibliographic notes Mathematics K-theory Algebraic topology Algebraic Topology K-Theory Mathematik Shape-Theorie (DE-588)4193842-2 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Shape-Theorie (DE-588)4193842-2 s Homologietheorie (DE-588)4141714-8 s 1\p DE-604 https://doi.org/10.1007/978-3-662-13064-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mardešić, Sibe Strong Shape and Homology Mathematics K-theory Algebraic topology Algebraic Topology K-Theory Mathematik Shape-Theorie (DE-588)4193842-2 gnd Homologietheorie (DE-588)4141714-8 gnd |
| subject_GND | (DE-588)4193842-2 (DE-588)4141714-8 |
| title | Strong Shape and Homology |
| title_auth | Strong Shape and Homology |
| title_exact_search | Strong Shape and Homology |
| title_full | Strong Shape and Homology by Sibe Mardešić |
| title_fullStr | Strong Shape and Homology by Sibe Mardešić |
| title_full_unstemmed | Strong Shape and Homology by Sibe Mardešić |
| title_short | Strong Shape and Homology |
| title_sort | strong shape and homology |
| topic | Mathematics K-theory Algebraic topology Algebraic Topology K-Theory Mathematik Shape-Theorie (DE-588)4193842-2 gnd Homologietheorie (DE-588)4141714-8 gnd |
| topic_facet | Mathematics K-theory Algebraic topology Algebraic Topology K-Theory Mathematik Shape-Theorie Homologietheorie |
| url | https://doi.org/10.1007/978-3-662-13064-3 |
| work_keys_str_mv | AT mardesicsibe strongshapeandhomology |