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Shape Theory and Geometric Topology [electronic resource] : Proceedings of a Conference Held at the Inter-University Centre of Postgraduate Studies, Dubrovnik, Yugoslavia, January 19 – 30, 1981 / edited by Sibe Mardešić, Jack Segal.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 870Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1981Description: VIII, 268 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540387497
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 514 23
LOC classification:
  • QA611-614.97
Online resources:
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.
In: Springer eBooks
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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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