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.
Isometric embeddings in bounded cohomology, Journal of Topology and Analysis, 2014, 06, 01, 1
2.
Relative measure homology and continuous bounded cohomology of topological pairs, Pacific Journal of Mathematics, 2012, 257, 1, 91
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