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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Maps between orbifolds


Author: Masayuki Yamasaki
Journal: Proc. Amer. Math. Soc. 109 (1990), 223-232
MSC: Primary 57N80; Secondary 57M12
DOI: https://doi.org/10.1090/S0002-9939-1990-1017853-2
Erratum: Proc. Amer. Math. Soc. 115 (1992), null.
MathSciNet review: 1017853
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Abstract: Elementary homotopy theory on maps between orbifolds is discussed. For example, it is shown that, given a homomorphism $ \varphi $ between orbifold fundamental groups of certain orbifolds, there exists a map (unique up to homotopy) between the orbifolds which induces $ \varphi $. We also study the properties of orbifolds preserved by homotopy-equivalences.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-1017853-2
Keywords: Orbifold, orbi-map, tame map, OR-map
Article copyright: © Copyright 1990 American Mathematical Society