FOUNDATIONS OF THE THEORY OF ℓ1 HOMOLOGY

Title & Authors
FOUNDATIONS OF THE THEORY OF ℓ1 HOMOLOGY
Park, Hee-Sook;

Abstract
In this paper, we provide the algebraic foundations to the theory of relative $\small{\ell}$$\small{_1}$ homology. In particular, we prove that $\small{\ell}$$\small{_1}$ homology of topological spaces, both for the absolute case and for the relative case, depends only on their fundamental groups. We also provide a .proof of Gromov`s Equivalence theorem for $\small{\ell}$$\small{_1}$ homology, stated by Gromov without proof [4].
Keywords
$\small{{\ell}_1}$ homology;relative $\small{{\ell}_1}$ homology;
Language
English
Cited by
1.
Relative measure homology and continuous bounded cohomology of topological pairs, Pacific Journal of Mathematics, 2012, 257, 1, 91
2.
Isometric embeddings in bounded cohomology, Journal of Topology and Analysis, 2014, 06, 01, 1
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