A note on proper maps-Reference-Cited by-同舟云学术

A note on proper maps

Published:1975 Issue:1 Volume:51 Page:237-241
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ho Chung Wu

Abstract

The author establishes some necessary and sufficient conditions on a Hausdorff space Y Y which force every open proper map into Y Y to be surjective. Using this result, the author then shows that a local homeomorphism from a path connected space into a simply connected space is a global homeomorphism onto if and only if the map is proper.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-051-01/S0002-9939-1975-0370471-3/S0002-9939-1975-0370471-3.pdf

Reference8 articles.

1. On the diffeomorphisms of Euclidean space;Gordon, W. B.;Amer. Math. Monthly,1972

2. Addendum to: “On the diffeomorphisms of Euclidean space”;Gordon, W. B.;Amer. Math. Monthly,1973

3. J. Hadamard, Sur les transformations planes, C. R. Acad. Sci. Paris 142 (1906), 74.

4. Sur les transformations ponctuelles;Hadamard;Bull. Soc. Math. France,1906

5. \bysame, Sur les correspondances ponctuelles, Oeuvres, pp. 383-384.

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