English

Leray theorems for $l_1$-norms of infinite chains

Algebraic Topology 2020-12-17 v1

Abstract

The paper is devoted to an adaptation of author's approach to Leray theorems in bounded cohomology theory to infinite chains. The main results are a stronger and more general form of Gromov's Vanishing-finiteness theorem and a generalization of the first part of his Cutting-of theorem. The proofs are elementary.

Keywords

Cite

@article{arxiv.2012.08690,
  title  = {Leray theorems for $l_1$-norms of infinite chains},
  author = {Nikolai V. Ivanov},
  journal= {arXiv preprint arXiv:2012.08690},
  year   = {2020}
}

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27 pages