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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 365 - 375 (11page)
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In this paper, we study some classes of spaces determined byclosure-like operators [ ]s, [ ]c and [ ]k etc. which are wider than the classof Fr echet-Urysohn spaces or the class of sequential spaces and relatedspaces. We rst introduce a WADS space which is a generalization ofa sequential space. We show that X is a WADS and k-space i X issequential and every WADS space is C-closed and obtained that everyWADS and countably compact space is sequential as a corollary. Wealso show that every WAP and countably compact space is countablysequential and obtain that every WACP and countably compact space issequential as a corollary. And we show that every WAP and weakly k-space is countably sequential and obtain that X is a WACP and weaklyk-space i X is sequential as a corollary.
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참고문헌 (19)
참고문헌 신청
A. V. Arhangel'skii / 1968 / A characterization of very k-spaces / Czechoslovak Math. J. 18(93):392~395
A. V. Arhangel'skii / 1990 / General Topology I / Springer-Verlage
A. V. Arhangel'skii / 1992 / Topological function spaces / Kluwer Academic Publishers
A. V. Arhangel'skii / 1993 / On a common generalization of k-spaces and spaces with countable tightness / Top. and its Appl. 51:261~268
A. Bella / 1994 / On spaces with the property of weak approximation by points / Comment. Math. Univ. Carolinae 35(2):357~360
A. V. Arhangel'skii / 1990 / General Topology I / Springer-Verlage
A. V. Arhangel'skii / 1992 / Topological function spaces / Kluwer Academic Publishers
A. V. Arhangel'skii / 1993 / On a common generalization of k-spaces and spaces with countable tightness / Top. and its Appl. 51:261~268
A. Bella / 1994 / On spaces with the property of weak approximation by points / Comment. Math. Univ. Carolinae 35(2):357~360
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