On the coincidence of zeroth Milnor-Thurston homology with singular homology
classification
🧮 math.GT
math.KT
keywords
homologyinjectivemilnor-thurstonsingularzerothborelcanonicalcoincidence
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In this paper we prove that the zeroth Milnor-Thurston homology group coincides with singular homology for Peano Continua. More- over, we show that the canonical homomorphism between these ho- mology theories may not be injective. However, it is proved that it is injective when a space has Borel path-components.
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