Strong Shape and Homology S. Mardesic

ISBN: 9783642085468

Published: December 15th 2010

Paperback

489 pages


Description

Strong Shape and Homology  by  S. Mardesic

Strong Shape and Homology by S. Mardesic
December 15th 2010 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 489 pages | ISBN: 9783642085468 | 3.43 Mb

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 andMoreShape 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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