Shape Theory and Geometric Topology
Shape Theory and Geometric Topology Proceedings of a Conference Held at the Inter-University Centre of Postgraduate Studies, Dubrovnik, Yugoslavia, January 19 – 30, 1981 / [electronic resource] :
edited by Sibe Mardešić, Jack Segal.
- VIII, 268 p. online resource.
- Lecture Notes in Mathematics, 870 0075-8434 ; .
- Lecture Notes in Mathematics, 870 .
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.
9783540387497
10.1007/BFb0089702 doi
Topology.
Geometry.
Topology.
Geometry.
QA611-614.97
514
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.
9783540387497
10.1007/BFb0089702 doi
Topology.
Geometry.
Topology.
Geometry.
QA611-614.97
514