A note on proper maps
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- by Chung Wu Ho PDF
- Proc. Amer. Math. Soc. 51 (1975), 237-241 Request permission
Abstract:
The author establishes some necessary and sufficient conditions on a Hausdorff space $Y$ which force every open proper map into $Y$ 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.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 237-241
- MSC: Primary 54C10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370471-3
- MathSciNet review: 0370471