Strong Shape And Homology

Download or read book Strong Shape and Homology written by Sibe Mardesic and published by Springer Science & Business Media. This book was released on 2000-01-07 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.