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October 2006 A Unified Theory of Weakly Open Functions
Takashi Noiri, Valeriu Popa
Missouri J. Math. Sci. 18(3): 179-196 (October 2006). DOI: 10.35834/2006/1803179

Abstract

We introduce a new notion of weakly $M$-open functions as functions defined between sets satisfying some minimal conditions. We obtain some characterizations and several properties of such functions. The functions enable us to formulate a unified theory of weak openness [36], weak semi-openness [10], weak preopenness [11], and weak $\beta$-openness [9].

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Takashi Noiri. Valeriu Popa. "A Unified Theory of Weakly Open Functions." Missouri J. Math. Sci. 18 (3) 179 - 196, October 2006. https://doi.org/10.35834/2006/1803179

Information

Published: October 2006
First available in Project Euclid: 3 August 2019

zbMATH: 1181.54023
Digital Object Identifier: 10.35834/2006/1803179

Subjects:
Primary: 54A05
Secondary: 54C10

Rights: Copyright © 2006 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.18 • No. 3 • October 2006
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