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    3. Strong Shape and Homology

    Strong Shape and Homology

    Posted By: AvaxGenius
    Date: 28 Sep 2023 13:25:26
    Strong Shape and Homology

    Strong Shape and Homology by Sibe Mardešić
    English | PDF | 2000 | 487 Pages | ISBN : 3540661980 | 40.1 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 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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