Geodesic
Some Comments on Q-Irresolute and Quasi-Irresolute Functions
Serdica Mathematical Journal, Tome 21 (1995) no. 1, pp. 67-74.

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The aim of this paper is to continue the study of θ-irresolute and quasi-irresolute functions as well as to give an example of a function which is θ-irresolute but neither quasi-irresolute nor an R-map and thus give an answer to a question posed by Ganster, Noiri and Reilly. We prove that RS-compactness is preserved under open, quasi-irresolute surjections.
Keywords: θ-Irresolute, Quasi-Irresolute, Semi-Open, θ-Semi-Open, Regular Closed, Semi-Regular, R-Map 
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Dontchev, Julian; Ganster, Maximilian. Some Comments on Q-Irresolute and Quasi-Irresolute Functions. Serdica Mathematical Journal, Tome 21 (1995) no. 1, pp. 67-74. http://geodesic.mathdoc.fr/item/SMJ2_1995_21_1_a4/