PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

On the coincidence of zeroth Milnor–Thurston and singular homology

Volume 243 / 2018

Janusz Przewocki, Andreas Zastrow Fundamenta Mathematicae 243 (2018), 109-122 MSC: Primary 55N35; Secondary 54G20. DOI: 10.4064/fm893-6-2018 Published online: 30 July 2018


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.


  • Janusz PrzewockiFaculty of Mathematics and Computer Science
    Adam Mickiewicz University of Poznań
    Umultowska 87
    61-614 Poznań, Poland
  • Andreas ZastrowInstitute of Mathematics
    Faculty of Mathematics, Physics and Informatics
    University of Gdańsk
    80-308 Gdańsk, Poland

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image