Shape theory and geometric topology : proceedings of a conference held at the Inter-University Centre of Postgraduate Studies, Dubrovnik, Yugoslavia, January 19-30, 1981

Bibliographic Information

Shape theory and geometric topology : proceedings of a conference held at the Inter-University Centre of Postgraduate Studies, Dubrovnik, Yugoslavia, January 19-30, 1981

edited by S. Mardešić and J. Segal

(Lecture notes in mathematics, 870)

Springer-Verlag, 1981

  • : Berlin
  • : New York

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Includes bibliographical references and index

Description and Table of Contents

Table of Contents

Finitely dominated compacta need not have finite type.- Fixed points in finitely dominated compacta: the geometric meaning of a conjecture of H. Bass.- Splitting homotopy idempotents.- Approximate fibrations-a geometric perspective.- Local n-connectivity of quotient spaces and one-point compactifications.- A simple-homotopy approach to the finiteness obstruction.- Generalized three-manifolds.- Some properties of deformation dimension.- Dimension, cohomological dimension, and cell-like mappings.- Embedding compacta up to shape.- On shape concordances.- Complement theorems in shape theory.- Embeddings in shape theory.- Under what conditions are shape homology and steenrod homology isomorphic ?.- Strong shape theory.- Inverse limits and resolutions.- Application of the shape theory in the characterization of exact homology theories and the strong shape homotopic theory.

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