English

Cellular covers of local groups

Algebraic Topology 2017-07-26 v1 Group Theory

Abstract

We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.

Cite

@article{arxiv.1707.08021,
  title  = {Cellular covers of local groups},
  author = {Ramon Flores and Jerome Scherer},
  journal= {arXiv preprint arXiv:1707.08021},
  year   = {2017}
}

Comments

12 pages

R2 v1 2026-06-22T20:56:57.035Z