A loop theorem/Dehn's lemma for some orbifolds (Q640336)
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scientific article; zbMATH DE number 5959856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A loop theorem/Dehn's lemma for some orbifolds |
scientific article; zbMATH DE number 5959856 |
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A loop theorem/Dehn's lemma for some orbifolds (English)
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18 October 2011
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A version of loop theorem and Dehn's lemma is proven for a certain class of 3-orbifolds (good and bad), namely those which are locally orientable and have singular sets labeled with powers of 2. The proof uses the more direct techniques of cutting and pasting, in the spirit of Papakyriakopoulos' original tower proof. Notice that the equivariant loop theorem implies the existence of a loop/Dehn's lemma for 3-orbifolds that are good.
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loop theorem
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Dehn's lemma
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3-orbifold
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