English

Models for classifying spaces for $\mathbb{Z}\rtimes \mathbb{Z}$

Algebraic Topology 2019-02-07 v1

Abstract

We construct two models for the classifying space for the family of infinite cyclic subgroups of the fundamental group of the Klein bottle. These examples do not fit in general constructions previously done, for example, for hyperbolic groups.

Cite

@article{arxiv.1705.00800,
  title  = {Models for classifying spaces for $\mathbb{Z}\rtimes \mathbb{Z}$},
  author = {Daniel Juan-Pineda and Alejandra Trujillo-Negrete},
  journal= {arXiv preprint arXiv:1705.00800},
  year   = {2019}
}

Comments

14 pages

R2 v1 2026-06-22T19:33:38.808Z