On the tautness property of Alexander-Spanier cohomology

Deo, Satya

doi:10.1090/S0002-9939-1975-0380773-2

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On the tautness property of Alexander-Spanier cohomology
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by Satya Deo

Proc. Amer. Math. Soc. 52 (1975), 441-444

DOI: https://doi.org/10.1090/S0002-9939-1975-0380773-2

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Abstract:

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

References

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Edwin H. Spanier, Cohomology theory for general spaces, Ann. of Math. (2) 49 (1948), 407–427. MR 24621, DOI 10.2307/1969289