Some Comments on Q-Irresolute and Quasi-Irresolute Functions

Dontchev, Julian, and Ganster, Maximilian. "Some Comments on Q-Irresolute and Quasi-Irresolute Functions." Serdica Mathematical Journal 21.1 (1995): 67-74. <http://eudml.org/doc/11658>.

@article{Dontchev1995,
abstract = {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.},
author = {Dontchev, Julian, Ganster, Maximilian},
journal = {Serdica Mathematical Journal},
keywords = {θ-Irresolute; Quasi-Irresolute; Semi-Open; θ-Semi-Open; Regular Closed; Semi-Regular; R-Map; -irresolute function; quasi-irresolute function; semi-open set; -semi-open set; regular closed set; quasi-irresoluteness; -map},
language = {eng},
number = {1},
pages = {67-74},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Some Comments on Q-Irresolute and Quasi-Irresolute Functions},
url = {http://eudml.org/doc/11658},
volume = {21},
year = {1995},
}

TY - JOUR
AU - Dontchev, Julian
AU - Ganster, Maximilian
TI - Some Comments on Q-Irresolute and Quasi-Irresolute Functions
JO - Serdica Mathematical Journal
PY - 1995
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 21
IS - 1
SP - 67
EP - 74
AB - 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.
LA - eng
KW - θ-Irresolute; Quasi-Irresolute; Semi-Open; θ-Semi-Open; Regular Closed; Semi-Regular; R-Map; -irresolute function; quasi-irresolute function; semi-open set; -semi-open set; regular closed set; quasi-irresoluteness; -map
UR - http://eudml.org/doc/11658
ER -