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＜電子ブック＞
Strong Shape and Homology / by Sibe Mardesic
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2000.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2000
本文言語	英語
大きさ	XII, 489 p : online resource
著者標目	*Mardesic, Sibe author SpringerLink (Online service)
件　名	LCSH:Algebraic topology LCSH:Mathematics LCSH:Algebra LCSH:K-theory FREE:Algebraic Topology FREE:Mathematics FREE:Algebra FREE:K-Theory
一般注記	I. Coherent Homotopy -- 1. Coherent mappings -- 2. Coherent homotopy -- 3. Coherent homotopy of sequences -- 4. Coherent homotopy and localization -- 5. Coherent homotopy as a Kleisli category -- II. Strong Shape -- 6. Resolutions -- 7. Strong expansions -- 8. Strong shape -- 9. Strong shape of metric compacta -- 10. Selected results on strong shape -- III. Higher Derived Limits -- 11. The derived functors of lim -- 12. limn and the extension functors Extn -- 13. The vanishing theorems -- 14. The cofinality theorem -- 15. Higher limits on the category pro-Mod -- IV. Homology Groups -- 16. Homology pro-groups -- 17. Strong homology groups of systems -- 18. Strong homology on CH(pro-Top) -- 19. Strong homology of spaces -- 20. Spectral sequences. Abelian groups -- 21. Strong homology of compact spaces -- 22. Generalized strong homology -- References -- List of Special Symbols -- Author Index 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 HTTP:URL=https://doi.org/10.1007/978-3-662-13064-3

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