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Generalization of perfectly continuous, regular set-connected and clopen functions.
- Source :
- Acta Mathematica Hungarica; May2005, Vol. 107 Issue 3, p193-206, 14p
- Publication Year :
- 2005
-
Abstract
- Noiri in 1984, Dontchev, Ganster and Reilly in recent years and Reilly and Vamanamurthy in 1983 introduced the notion of perfectly continuous, regular set-connected and clopen functions, respectively. The aim of this paper is to introduce the notion of a new class of functions which is called almost clopen functions including the classes of perfectly continuous, regular set-connected and clopen functions. Furthermore, properties of almost clopen functions are obtained and relationships among almost clopenness, perfect continuity, regular set-connectedness, clopenness and almost continuity are investigated. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 107
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 16795388
- Full Text :
- https://doi.org/10.1007/s10474-005-0190-2