• Title/Summary/Keyword: basically disconected space

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MINIMAL BASICALLY DISCONNECTED COVERS OF SOME EXTENSIONS

  • Kim, Chang-Il;Jung, Kap-Hun
    • Communications of the Korean Mathematical Society
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    • v.17 no.4
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    • pp.709-718
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    • 2002
  • Observing that each Tychonoff space X has the minimal basically disconnected cover (ΛX, Λ$\sub$X/) and the .realcompact-ification $\upsilon$X, we introduce a concept of stable $\sigma$Z(X)#-ultrafilters and give internal characterizations of Tychonoff spaces X for which Λ($\upsilon$X) : $\upsilon$(ΛX).