Cotorsion and wild homology
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Publication:1678644
DOI10.1007/s11856-017-1566-zzbMath1421.55012OpenAlexW2760654602MaRDI QIDQ1678644
Wolfram Hojka, Wolfgang N. Herfort
Publication date: 17 November 2017
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11856-017-1566-z
Cohomology of groups (20J06) Other groups related to topology or analysis (20F38) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Torsion-free groups, infinite rank (20K20) Wild embeddings (57M30) Homotopy groups of wedges, joins, and simple spaces (55Q20)
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Cites Work
- Cotorsion-free groups from a topological viewpoint
- The word problem for some uncountable groups given by countable words
- On the homology of the harmonic archipelago
- Singular homology of one-dimensional spaces
- Small loop spaces
- Free \(\sigma\)-products and noncommutatively slender groups
- Free subgroups of free complete products
- The harmonic archipelago as a universal locally free group.
- On the fundamental groups of one-dimensional spaces
- Archipelago groups
- Homotopy types of one-dimensional Peano continua
- THE FIRST INTEGRAL SINGUAR HOMOLOGY GROUPS OF ONE POINT UNIONS
- Groups of dimension 1 are locally free
- Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
- Unrestricted Free Products, and Varieties of Topological Groups
- THE FUNDAMENTAL GROUP OF TWO SPACES WITH A COMMON POINT