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.
General
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