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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Monotone real analytic maps which are not homeomorphisms


Authors: A. C. Hsu and J. G. Timourian
Journal: Proc. Amer. Math. Soc. 51 (1975), 231-236
MSC: Primary 57D45; Secondary 54C10
MathSciNet review: 0370623
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Abstract: Monotone, proper, real analytic, onto maps which have nonempty branch sets are exhibited. The smash product maps are shown to belong to this class of maps. Maps with branch set a submanifold and with discrete branch set images are classified (locally).


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0370623-2
PII: S 0002-9939(1975)0370623-2
Keywords: Monotone, open, branch set
Article copyright: © Copyright 1975 American Mathematical Society