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서지반출
ON SPACES IN WHICH COMPACT-LIKE SETS ARE CLOSED, AND RELATED SPACES
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  • ON SPACES IN WHICH COMPACT-LIKE SETS ARE CLOSED, AND RELATED SPACES
  • ON SPACES IN WHICH COMPACT-LIKE SETS ARE CLOSED, AND RELATED SPACES
저자명
Hong. Woo-Chorl
간행물명
Communications of the Korean Mathematical Society
권/호정보
2007년|22권 2호|pp.297-303 (7 pages)
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대한수학회
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

In this paper, we study on C-closed spaces, SC-closed spaces and related spaces. We show that a sequentially compact SC-closed space is sequential and as corollaries obtain that a sequentially compact space with unique sequential limits is sequential if and only if it is C-closed [7, 1.19 Proposition] and every sequentially compact SC-closed space is C-closed. We also show that a countably compact WAP and C-closed space is sequential and obtain that a countably compact (or compact or sequentially compact) WAP-space with unique sequential limits is sequential if and only if it is C-closed as a corollary. Finally we prove that a weakly discretely generated AP-space is C-closed. We then obtain that every countably compact (or compact or sequentially compact) weakly discretely generated AP-space is $Fracute{e}chet$-Urysohn with unique sequential limits, for weakly discretely generated AP-spaces, unique sequential limits ${equiv}KC{equiv}C-closed{equiv}SC-closed$, and every continuous surjective function from a countably compact (or compact or sequentially compact) space onto a weakly discretely generated AP-space is closed as corollaries.