On measure homology of mildly wild spaces

Abstract We prove injectivity of the canonical map from singular homology to measure homology for certain “mildly wild” spaces, that is, certain spaces not having the homotopy type of a CW-complex, but having countable fundamental groups.

Authors

Institutions

Publication Details

Journal
Forum Mathematicum
Published
2026-02-25
DOI
https://doi.org/10.1515/forum-2024-0046
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On measure homology of mildly wild spaces

Thilo Kuessner, Janusz Przewocki, Andreas Zastrow
Forum Mathematicum
Homotopy and Cohomology in Algebraic Topology
article

On measure homology of mildly wild spaces

Thilo Kuessner, Janusz Przewocki, Andreas Zastrow
article en

Abstract

Abstract We prove injectivity of the canonical map from singular homology to measure homology for certain “mildly wild” spaces, that is, certain spaces not having the homotopy type of a CW-complex, but having countable fundamental groups.

Forum Mathematicum
Catholic University of Eichstätt-Ingolstadt (DE), University of Gdańsk (PL)
Reduced inequalities
Openalex Percentile: Top 34%
Homotopy and Cohomology in Algebraic Topology
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.