Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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REALCOMPACTIFICATION OF A PRODUCT SPACE X × Y

  • Kim, ChangIl (Department of Mathematics Education Dankook University)
  • Received : 2011.07.28
  • Accepted : 2011.08.25
  • Published : 2011.09.30
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Abstract

Observing that $vX{\times}vY$ is a Wallman realcompactification of $X{\times}Y$ if $v(X{\times}vY)=vX{\times}vY$, we show that $v(X{\times}Y)=vX{\times}vY$ if and only if $X{\times}Y$ is z-embedded in $vX{\times}vY$ and $vX{\times}vY$ is a Wallman compactification of $X{\times}Y$.

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References

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