• 제목/요약/키워드: weakly Lindel$\ddot{o}$ff space

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AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE

  • Yun, Yong-Sik;Kim, Chang-Il
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권3호
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    • pp.273-279
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    • 2012
  • In this paper, we construct an extension ($kX$, $k_X$) of a space X such that $kX$ is a weakly Lindel$\ddot{o}$ff space and for any continuous map $f:X{\rightarrow}Y$, there is a continuous map $g:kX{\rightarrow}kY$ such that $g|x=f$. Moreover, we show that ${\upsilon}X$ is Lindel$\ddot{o}$ff if and only if $kX={\upsilon}X$ and that for any P'-space X which is weakly Lindel$\ddot{o}$ff, $kX={\upsilon}X$.