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arXiv · 2312.16464

Strong Shape Invariance of Alexander-Spanier Normal Homology Theory

Anzor Beridze
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Abstract

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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Anzor Beridze. 2023-12-27. Strong Shape Invariance of Alexander-Spanier Normal Homology Theory. https://arxiv.org/abs/2312.16464

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