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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 1, Pages 201-203
doi:10.1155/S0161171285000229

A characterization of closed maps using the Whyburn construction

Yvonne O. Stallings

Department of Mathematics, University of Southwestern Louisiana, Lafayette 70504, Louisiana, USA

Abstract

In this paper we modify the Whyburn construction for a continuous function f:X→Y. If the range is first countable, we get a characterization of closed maps; namely, the constructions are the same if and only if the map is closed.