English

Co-induced actions for topological and filtered groups

Group Theory 2018-12-24 v1 Algebraic Topology Category Theory General Topology

Abstract

In this note, we show that the category of strongly central series admits co-induced actions, which means that it is Locally Algebraically Cartesian Closed. We also show that some co-induction functors exist in the category of topological groups, and that a convenient category of topological groups is LACC.

Keywords

Cite

@article{arxiv.1812.09189,
  title  = {Co-induced actions for topological and filtered groups},
  author = {Jacques Darné},
  journal= {arXiv preprint arXiv:1812.09189},
  year   = {2018}
}
R2 v1 2026-06-23T06:53:43.609Z