Some Characterizations of Open, Closed, and Continuous Mappings

Navpreet Singh Noorie and Rajni Bala

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-5

Abstract:

We obtain new characterizations of open maps in terms of closures, of closed maps in terms of interiors, and of continuous maps in terms of interiors. Further open (closed) onto maps 𠑓 ∶ 𠑋 → 𠑌 are described in terms of images under 𠑓 of certain closed (open) sets in 𠑋 . Continuity of (onto) maps is also characterized in terms of saturated sets.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:527106

DOI: 10.1155/2008/527106

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