On the coincidence of zeroth Milnor-Thurston and singular homology
Janusz Przewocki , Andreas Zastrow
AbstractWe 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.
|Journal series||Fundamenta Mathematicae, ISSN 0016-2736, (A 25 pkt)|
|Publication size in sheets||0.65|
|Keywords in English||Milnor-Thurston homology, measure homology, algebraic topology, peculiar connectivity properties, counterexamples|
|Score|| = 20.0, ArticleFromJournal|
= 25.0, ArticleFromJournal
|Publication indicators||= 1; : 2016 = 1.06; : 2017 = 0.561 (2) - 2017=0.614 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.