Shape Theory and Geometric Topology

Proceedings of a Conference Held at the Inter-University Centre of Postgraduate Studies, Dubrovnik, Yugoslavia, January 19-30, 1981
Herausgegeben:Mardesic, S.; Segal, J.

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 870
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-10846-7
• 1981
• Seitenzahl: 272
• Erscheinungstermin: 1. Juli 1981
• Englisch
• Abmessung: 235mm x 155mm x 15mm
• Gewicht: 436g
• ISBN-13: 9783540108467
• ISBN-10: 3540108467
• Artikelnr.: 23569724

Inhaltsangabe

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.