Notes on the bounded cohomology theory

2017/08/17 by Nikolai V. Ivanov, Ivanov, Nikolai V. · 1 citation
Mathematics · #20J06 (Primary) #53C20 (Secondary) #53C23 #55N10 #55U99 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1708.05150

openalex publication_date 2017/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper is devoted to a generalized and improved version of author's approach to Gromov bounded cohomology theory. In particular, the awkward countability assumption is removed and the aspects related to homological algebra are clarified. The exposition is largely self-contained.

Citations

• The Geometric Realization of a Semi-Simplicial Complex

Cited by

• A remark on the Mayer-Vietoris double complex for singular cohomology

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