Monotone real analytic maps which are not homeomorphisms

Hsu, A. C.; Timourian, J. G.

doi:10.1090/S0002-9939-1975-0370623-2

Monotone real analytic maps which are not homeomorphisms
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by A. C. Hsu and J. G. Timourian PDF

Proc. Amer. Math. Soc. 51 (1975), 231-236 Request permission

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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