Circle decompositions of surfaces |
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| Authors: | Gábor Moussong |
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| Institution: | a Inst. of Mathematics, Eötvös University, Pázmány Péter Sétány 1/C, Budapest 1117, Hungary
b The University of Alabama at Birmingham, Department of Mathematics, 1300 University Blvd., Suite 452, Birmingham, AL 35294, USA |
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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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| Keywords: | 57N05 54F99 |
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