AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2012, v.19 no.3, pp.273-279

https://doi.org/10.7468/jksmeb.2012.19.3.273

Yun, Yong-Sik (Department of Mathematics, Jeju National University)
Kim, Chang-Il (Department of Mathematics Education, Dankook University)

Yun, Yong-Sik, & Kim, Chang-Il. (2012). AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE. , 19(3), 273-279, https://doi.org/10.7468/jksmeb.2012.19.3.273

복사

Abstract

In this paper, we construct an extension (<TEX>$kX$</TEX>, <TEX>$k_X$</TEX>) of a space X such that <TEX>$kX$</TEX> is a weakly Lindel<TEX>$\ddot{o}$</TEX>ff space and for any continuous map <TEX>$f:X{\rightarrow}Y$</TEX>, there is a continuous map <TEX>$g:kX{\rightarrow}kY$</TEX> such that <TEX>$g|x=f$</TEX>. Moreover, we show that <TEX>${\upsilon}X$</TEX> is Lindel<TEX>$\ddot{o}$</TEX>ff if and only if <TEX>$kX={\upsilon}X$</TEX> and that for any P'-space X which is weakly Lindel<TEX>$\ddot{o}$</TEX>ff, <TEX>$kX={\upsilon}X$</TEX>.

keywords: filter, realcompactification, weakly Lindel<tex> $\ddot{o}$</tex>ff space

참고문헌

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논문 상세

Vol.19 No.3

AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE

AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학