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arXiv · 2104.13683

Fundamental groupoids and homotopy types of non-compact surfaces

Sergiy Maksymenko·Oleksii Nikitchenko
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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 $\mathbb{R}\times(0,1)$ with boundary intervals in $\mathbb{R}\times\{\pm1\}$ along some of those intervals.

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BibTeXRIS

Sergiy Maksymenko, Oleksii Nikitchenko. 2021-04-28. Fundamental groupoids and homotopy types of non-compact surfaces. https://arxiv.org/abs/2104.13683

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