Circle decompositions of surfaces (Q624404)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Circle decompositions of surfaces |
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Circle decompositions of surfaces (English)
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9 February 2011
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It is shown that there are exactly seven connected, metrisable surfaces which may be partitioned into circles: torus, Klein bottle, closed annulus, half open annulus, open annulus, closed Möbius band and open Möbius band. Any such partition (decomposition) is upper semicontinuous.
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topological surfaces
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circle partitions
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Jordan-Schönflies theorem
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upper semicontinuous decompositions
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circle foliations
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