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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.
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.
The aim of this international conference the third of its type was
to survey recent developments in Geometric Topology and Shape
Theory with an emphasis on their interaction. The volume contains
original research papers and carefully selected survey of currently
active areas. The main topics and themes represented by the papers
of this volume include decomposition theory, cell-like mappings and
CE-equivalent compacta, covering dimension versus cohomological
dimension, ANR's and LCn-compacta, homology manifolds, embeddings
of continua into manifolds, complement theorems in shape theory,
approximate fibrations and shape fibrations, fibered shape, exact
homologies and strong shape theory.
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