Strong Shape and Homology
(Sprache: Englisch)
Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."
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Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."
Klappentext zu „Strong Shape and Homology “
Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."
Inhaltsverzeichnis zu „Strong Shape and Homology “
Contents:I Coherent Homotopy: Coherent mappings
Coherent homotopy. Coherent homotopy of sequences
Coherent homotopy and localization
Coherent homotopy as a Kleisli category
II Strong Shape: Resolutions
Strong expansions
Strong shape
Strong shape of metric compacta
Selected results on strong shape
III Derived Limits: The derived functors of lim
limn and the extension functors Extn
The vanishing theorems
The cofinality theorem
Higher limits on the category pro-Mod
IV Homology Groups: Homology pro-groups
Strong homology groups of height
Strong homology as a functor of CH (pro-Top)
Strong homology of spaces
Spectral sequences
Abelian groups
Strong homology of compact spaces
Generalized strong homology
Bibliographische Angaben
- Autor: Sibe Mardesic
- 1999, 2000, 489 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540661980
- ISBN-13: 9783540661986
- Erscheinungsdatum: 22.11.1999
Sprache:
Englisch
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