Notes on the bounded cohomology theory
Algebraic Topology
2020-12-17 v3
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.
Cite
@article{arxiv.1708.05150,
title = {Notes on the bounded cohomology theory},
author = {Nikolai V. Ivanov},
journal= {arXiv preprint arXiv:1708.05150},
year = {2020}
}
Comments
95 pages. The statement of Covering theorem and proofs of this theorem and Vanishing theorem are corrected (Section 9). This does not affect the rest of the paper