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arXiv · 1009.0575

Circle Decompositions of Surfaces

Gábor Moussong·Nándor Simányi
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Abstract

We determine which connected surfaces can be partitioned into topological circles. There are exactly seven such surfaces up to homeomorphism: those of finite type, of Euler characteristic zero, and with compact boundary components. As a byproduct, we get that any circle decomposition of a surface is upper semicontinuous.

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BibTeXRIS

Gábor Moussong, Nándor Simányi. 2010-09-03. Circle Decompositions of Surfaces. https://doi.org/10.1016/j.topol.2010.11.015

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