2014•arXiv (Cornell University)Open access
On the coincidence of zeroth Milnor-Thurston homology with singular\n homology
Janusz Przewocki, Andreas Zastrow
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Abstract
In this paper we prove that the zeroth Milnor-Thurston homology group\ncoincides with singular homology for Peano Continua. More- over, we show that\nthe canonical homomorphism between these ho- mology theories may not be\ninjective. However, it is proved that it is injective when a space has Borel\npath-components.\n
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