Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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MINIMAL BASICALLY DISCONNECTED COVERS OF SOME EXTENSIONS

  • Kim, Chang-Il (Department of Mathematics Education, Dankook University) ;
  • Jung, Kap-Hun (Department of Mathematics Education, Dankook University)
  • Published : 2002.10.01
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Abstract

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).

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References

  1. Abstract and concrete categories J. Adamek;H. Herrlich;G.E. Strecker
  2. Rings continuous functions L. Gillman;M. Jerison
  3. Topol. and its Appl v.72 Minimal covers and filter spaces C.I. Kim
  4. Historia Mathematcica v.11 no.2 Projective objects in the category of compact spaces and б Z#-irreducible maps
  5. Extensions and Absolutes of Hausdorff Spaces J. Porter;R.G. Woods
  6. Topol. and its Appl v.17 The smallest basically disconnected preimage of a space J. Vermeer

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  3. BASICALLY DISCONNECTED COVERS OF THE EXTENSION κX OF A SPACE X vol.29, pp.1, 2013, https://doi.org/10.7858/eamj.2013.007
  4. MINIMAL QUASI-F COVERS OF SOME EXTENSION vol.26, pp.2, 2013, https://doi.org/10.14403/jcms.2013.26.2.427