English

Simplicial sets, Postnikov systems, and bounded cohomology

Algebraic Topology 2020-12-03 v1

Abstract

The paper is devoted to an approach to the bounded cohomology theory based on the theories of simplicial sets and Postnikov systems. In particular, the main results of the bounded cohomology theory of topological spaces are extended to arbitrary Kan (fibrant) simplicial sets.

Keywords

Cite

@article{arxiv.2012.00947,
  title  = {Simplicial sets, Postnikov systems, and bounded cohomology},
  author = {Nikolai V. Ivanov},
  journal= {arXiv preprint arXiv:2012.00947},
  year   = {2020}
}

Comments

40 pages

R2 v1 2026-06-23T20:39:37.644Z