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arXiv:2312.16464 [math.AT]AbstractReferencesReviewsResources

Strong Shape Invariance of Alexander-Spanier Normal Homology Theory

Anzor Beridze

Published 2023-12-27Version 1

In the paper [Ba-Be-Mdz], using the Alexander-Spanier cochains based on the normal coverings, the exact homology theory $\bar{H}^N_*(-,-;G)$, the so called Alexander-Spanier homology theory, is defined. In the paper we will use the method of construction of the strong homology theory to show that the homology theory $\bar{H}^N_*(-,-;G)$ is a strong shape invariant.

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