R. Aliabad, A., Bagheri, V., Karavan Jahromi, M. (2017). On quasi $P$-spaces and their applications in submaximal and nodec spaces. Bulletin of the Iranian Mathematical Society, 43(3), 835-852.

A. R. Aliabad; V. Bagheri; M. Karavan Jahromi. "On quasi $P$-spaces and their applications in submaximal and nodec spaces". Bulletin of the Iranian Mathematical Society, 43, 3, 2017, 835-852.

R. Aliabad, A., Bagheri, V., Karavan Jahromi, M. (2017). 'On quasi $P$-spaces and their applications in submaximal and nodec spaces', Bulletin of the Iranian Mathematical Society, 43(3), pp. 835-852.

R. Aliabad, A., Bagheri, V., Karavan Jahromi, M. On quasi $P$-spaces and their applications in submaximal and nodec spaces. Bulletin of the Iranian Mathematical Society, 2017; 43(3): 835-852.

On quasi $P$-spaces and their applications in submaximal and nodec spaces

^{1}Department of Mathematics, Chamran University, Ahwaz, Iran.

^{2}Department of Mathematics, Persian Gulf University, Boushehr, Iran.

Receive Date: 04 May 2015,
Revise Date: 06 March 2016,
Accept Date: 13 March 2016

Abstract

A topological space is called submaximal if each of its dense subsets is open and is called nodec if each of its nowhere dense ea subsets is closed. Here, we study a variety of spaces some of which have already been studied in $C(X)$. Among them are, most importantly, quasi $P$-spaces and pointwise quasi $P$-spaces. We obtain some new useful topological characterizations of quasi $P$-spaces and pointwise quasi $P$-spaces. Consequently, we obtain a close relation between these latter spaces and submaximal and nodec spaces.

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