Strong Shape Invariance of Alexander-Spanier Normal Homology Theory
Abstract
In the paper [Ba-Be-Mdz], using the Alexander-Spanier cochains based on the normal coverings, the exact homology theory HN*(-,-;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 HN*(-,-;G) is a strong shape invariant.
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