On the coincidence of zeroth Milnor-Thurston and singular homology

Janusz Przewocki , Andreas Zastrow

Abstract

We prove that the zeroth Milnor–Thurston homology group coincides with the zeroth singular homology group for Peano continua. Moreover, we show that the canonical homomorphism between these homology theories is not always injective. However, we prove that it is injective when the space has Borel path-components.
Author Janusz Przewocki
Janusz Przewocki,,
-
, Andreas Zastrow (FMPI / IM)
Andreas Zastrow,,
- Institute of Mathematics
Journal seriesFundamenta Mathematicae, ISSN 0016-2736, (A 20 pkt)
Issue year2018
Vol243
No2
Pages109-122
Publication size in sheets0.65
Keywords in EnglishMilnor-Thurston homology, measure homology, algebraic topology, peculiar connectivity properties, counterexamples
DOIDOI:10.4064/fm893-6-2018
URL https://www.impan.pl/shop/publication/transaction/download/product/112528
Languageen angielski
Score (nominal)25
ScoreMinisterial score = 20.0, 25-09-2018, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 25-09-2018, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.609 (2) - 2016=0.529 (5)
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