Topology Proceedings Document # baae-03
topology proceedings
Electronic Version 17 (1992), 145-149

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Decomposition of domains of proper local homeomorphisms

Gerald Jungck and Mathew Timm

Let p: X --> Y be a proper surjective local homeomorphism from the Hausdorff space X to the connected first countable Hausdorff space Y. Then X is a finite disjoint union of X1, ... , Xn with each Xj connected and with p: Xj --> X a surjective, proper, local homeomorphism.

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Copyright © 1998 Auburn University and Topology Atlas | Date published electronically: January 07, 1998