논문KCI 등재
BASICALLY DISCONNECTED COVERS OF THE EXTENSION kX OF A SPACE X
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참고문헌
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주제분류수학
초록
Observing that every Tychonoff space X has a weakly Lindelof extension kX and the minimal basically diconneted cover ΛkX of kX is weakly Lindelof, we fist show that ΛkX:ΛkX→kX is a z#_inrreducible map and that ΛβX = βΛkX. And we show that kΛX = ΛkX if and only if ΛkX:kΛX → kX is an onto map and βΛX = ΛβX.
Abstract
Observing that every Tychonoff space X has a weakly Lindelof extension kX and the minimal basically diconneted cover ΛkX of kX is weakly Lindelof, we fist show that ΛkX:ΛkX→kX is a z#_inrreducible map and that ΛβX = βΛkX. And we show that kΛX = ΛkX if and only if ΛkX:kΛX → kX is an onto map and βΛX = ΛβX.
참고문헌 (9)
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- 윤용식, "AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE", 순수 및 응용수학, 19(3), pp.273~279 (2012), 한국수학교육학회[DOI]
관련 논문AI추천
AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE김창일, 윤용식한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호MINIMAL BASICALLY DISCONNECTED COVER OF WEAKLY P-SPACES AND THEIR PRODUCTS김창일한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제2호Minimal Basically Disconnected Covers of P'-spaces김창일, 정갑헌영남수학회 · East Asian Mathematical Journal2014 · 제30권 제1호CLOZ-COVERS OF TYCHONOFF SPACES김창일한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호FILTER SPACES AND BASICALLY DISCONNECTED COVERS김창일, 전영주한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제2호MINIMAL QUASI-F COVERS OF REALCOMPACT SPACES김창일, 전영주한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제4호
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