English

Fundamental groupoids and homotopy types of non-compact surfaces

Algebraic Topology 2021-12-07 v3 Dynamical Systems Geometric Topology

Abstract

The paper contains an application of van Kampen theorem for groupoids for computation of homotopy types of certain class of non-compact foliated surfaces obtained by gluing at most countably many strips R×(0,1)\mathbb{R}\times(0,1) with boundary intervals in R×{±1}\mathbb{R}\times\{\pm1\} along some of those intervals.

Keywords

Cite

@article{arxiv.2104.13683,
  title  = {Fundamental groupoids and homotopy types of non-compact surfaces},
  author = {Sergiy Maksymenko and Oleksii Nikitchenko},
  journal= {arXiv preprint arXiv:2104.13683},
  year   = {2021}
}

Comments

Revised version