On the tautness property of Alexander-Spanier cohomology

Author:

Deo Satya

Abstract

Any neighborhood retract of an arbitrary topological space is tautly imbedded with respect to Alexander-Spanier cohomology.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference3 articles.

1. Homology groups of relations;Dowker, C. H.;Ann. of Math. (2),1952

2. Cohomology theory for general spaces;Spanier, Edwin H.;Ann. of Math. (2),1948

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1. Equivariant uniform Alexander-Spanier cohomology theory;Topology and its Applications;2022-02

2. General homology and cohomology theories. Current state and typical applications;Journal of Soviet Mathematics;1991-11

3. Mappings of spectral sequences and the generalized homotopy axiom;Siberian Mathematical Journal;1988

4. The continuity axiom and the Čech homology;Lecture Notes in Mathematics;1987

5. On large cohomological dimension and tautness;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1984-12

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