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Strong Shape and Homology (Springer Monographs in Mathematics) - Hardcover

Mardesic, Sibe

 
9783540661986: Strong Shape and Homology (Springer Monographs in Mathematics)
Hardcover
ISBN 10: 3540661980 ISBN 13: 9783540661986
Verlag: Springer, 1999

Inhaltsangabe

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 (ANR's) using the technique of inverse systems. It is intended for researchers and graduate students. Special care is devoted to motivation and bibliographic notes.

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Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
1999
Sprache
Englisch
ISBN 10 
3540661980
ISBN 13 
9783540661986
Einband
Gebundene Ausgabe
Anzahl der Seiten
501
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