• 제목/요약/키워드: basically disconected space

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MINIMAL BASICALLY DISCONNECTED COVERS OF SOME EXTENSIONS

  • Kim, Chang-Il;Jung, Kap-Hun
    • 대한수학회논문집
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    • 제17권4호
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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).