Bounded cohomology and homotopy colimits

Raptis, George (2024) Bounded cohomology and homotopy colimits. QUARTERLY JOURNAL OF MATHEMATICS, 75 (4). pp. 1219-1241. ISSN 0033-5606, 1464-3847

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Abstract

The comparison map from bounded cohomology to singular cohomology plays an important role in the study of bounded cohomology theory and its applications. The vanishing and covering theorems of Gromov and Ivanov show interesting and useful properties of the comparison map under appropriate assumptions. We discuss an approach to these theorems, based on the general homotopy-theoretic properties of the comparison map, and obtain new proofs and refined versions of these results.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Jul 2025 05:05
Last Modified: 23 Jul 2025 05:05
URI: https://pred.uni-regensburg.de/id/eprint/63488

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