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MINIMAL BASICALLY DISCONNECTED COVERS OF SOME EXTENSIONS

Kim, Chang-Il;Jung, Kap-Hun

  • Published : 2002.10.01

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).

Keywords

basically disconected space;realcompact space;filter space;covering map

References

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  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. Abstract and concrete categories J. Adamek;H. Herrlich;G.E. Strecker

Cited by

  1. ALMOST P-SPACES vol.18, pp.4, 2003, https://doi.org/10.4134/CKMS.2003.18.4.695
  2. MINIMAL QUASI-F COVERS OF vX vol.26, pp.1, 2013, https://doi.org/10.14403/jcms.2013.26.1.221
  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