Ebook: Shape Theory and Geometric Topology: Proceedings of a Conference Held at the Inter-University Centre of Postgraduate Studies, Dubrovnik, Yugoslavia, January 19 – 30, 1981

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Content:
Front Matter....Pages -
Finitely dominated compacta need not have finite type....Pages 1-5
Fixed points in finitely dominated compacta: the geometric meaning of a conjecture of H. Bass....Pages 6-22
Splitting homotopy idempotents....Pages 23-36
Approximate fibrations-a geometric perspective....Pages 37-47
Local n-connectivity of quotient spaces and one-point compactifications....Pages 48-72
A simple-homotopy approach to the finiteness obstruction....Pages 73-81
Generalized three-manifolds....Pages 82-92
Some properties of deformation dimension....Pages 93-104
Dimension, cohomological dimension, and cell-like mappings....Pages 105-118
Embedding compacta up to shape....Pages 119-134
On shape concordances....Pages 135-149
Complement theorems in shape theory....Pages 150-168
Embeddings in shape theory....Pages 169-185
Under what conditions are shape homology $underline {bar E} _{rlap{--} x}$ and steenrod homology $$^S underset{raise0.3emhbox{$smash{scriptscriptstyle-}$}}{E} _{rlap{--} x}$$ isomorphic ?....Pages 186-214
Strong shape theory....Pages 215-238
Inverse limits and resolutions....Pages 239-252
Application of the shape theory in the characterization of exact homology theories and the strong shape homotopic theory....Pages 253-262
Back Matter....Pages -

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Content:
Front Matter....Pages -
Finitely dominated compacta need not have finite type....Pages 1-5
Fixed points in finitely dominated compacta: the geometric meaning of a conjecture of H. Bass....Pages 6-22
Splitting homotopy idempotents....Pages 23-36
Approximate fibrations-a geometric perspective....Pages 37-47
Local n-connectivity of quotient spaces and one-point compactifications....Pages 48-72
A simple-homotopy approach to the finiteness obstruction....Pages 73-81
Generalized three-manifolds....Pages 82-92
Some properties of deformation dimension....Pages 93-104
Dimension, cohomological dimension, and cell-like mappings....Pages 105-118
Embedding compacta up to shape....Pages 119-134
On shape concordances....Pages 135-149
Complement theorems in shape theory....Pages 150-168
Embeddings in shape theory....Pages 169-185
Under what conditions are shape homology $underline {bar E} _{rlap{--} x}$ and steenrod homology $$^S underset{raise0.3emhbox{$smash{scriptscriptstyle-}$}}{E} _{rlap{--} x}$$ isomorphic ?....Pages 186-214
Strong shape theory....Pages 215-238
Inverse limits and resolutions....Pages 239-252
Application of the shape theory in the characterization of exact homology theories and the strong shape homotopic theory....Pages 253-262
Back Matter....Pages -
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