H-closed functions

Filippo Cammaroto; Vitaly V. Fedorcuk; Jack R. Porter

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 3, page 563-572
  • ISSN: 0010-2628

Abstract

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The notion of a Hausdorff function is generalized to the concept of H-closed function and the concept of an H-closed extension of a Hausdorff function is developed. Each Hausdorff function is shown to have an H-closed extension.

How to cite

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Cammaroto, Filippo, Fedorcuk, Vitaly V., and Porter, Jack R.. "H-closed functions." Commentationes Mathematicae Universitatis Carolinae 39.3 (1998): 563-572. <http://eudml.org/doc/248255>.

@article{Cammaroto1998,
abstract = {The notion of a Hausdorff function is generalized to the concept of H-closed function and the concept of an H-closed extension of a Hausdorff function is developed. Each Hausdorff function is shown to have an H-closed extension.},
author = {Cammaroto, Filippo, Fedorcuk, Vitaly V., Porter, Jack R.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {H-closed; Hausdorff functions; Hausdorff function; H-closed function},
language = {eng},
number = {3},
pages = {563-572},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {H-closed functions},
url = {http://eudml.org/doc/248255},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Cammaroto, Filippo
AU - Fedorcuk, Vitaly V.
AU - Porter, Jack R.
TI - H-closed functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 3
SP - 563
EP - 572
AB - The notion of a Hausdorff function is generalized to the concept of H-closed function and the concept of an H-closed extension of a Hausdorff function is developed. Each Hausdorff function is shown to have an H-closed extension.
LA - eng
KW - H-closed; Hausdorff functions; Hausdorff function; H-closed function
UR - http://eudml.org/doc/248255
ER -

References

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  2. Blaszczyk A., Mioduszewski J., On factorization of maps through τ X , Colloq. Math. 23 (1971), 45-52. (1971) Zbl0222.54032MR0305331
  3. Cammaroto F., Nordo G., On Urysohn, almost regular and semiregular functions, Filomat (Ni ̆s) 8 (1994), 71-80. (1994) Zbl0822.54007MR1342185
  4. Dickman R.F., Jr., Regular closed maps, Proc. Amer. Math. Soc. 39 (1973), 414-416. (1973) Zbl0241.54009MR0315654
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  6. Engelking R., General Topology, Warsaw, 1977. Zbl0684.54001MR0500780
  7. Friedler L., Absolutely closed maps, Proc. Amer. Math. Soc. 51 (1975), 186-190. (1975) MR0367898
  8. Hodel R.G., Cardinal function I, in Handbook of Set-theoretical Topology, K. Kunen and J. Vaughan ed., North Holland-Amsterdam, 1984. MR0776619
  9. Ponomarev V.I., Shapiro L.B., Absolutes of topological spaces and their continuous maps, Uspekhi Mat. Nauk 31 (1976), 121-136; Russian Math. Surveys 31 (1976), 138-154. (1976) Zbl0355.54029MR0451216
  10. Porter J.R., Woods R.G., Extensions and Absolutes of Hausdorff Spaces, Springer-Verlag, Berlin, 1988. Zbl0652.54016MR0918341
  11. Shapiro L.B., On absolutes of topological spaces and continuous maps, Dokl. Akad. Nauk SSSR 226 (1976), 523-526; Soviet Math. Dokl. 17 (1976), 147-151. (1976) MR0405377
  12. Ul'yanov V.M., On compactifications satisfying the first axiom of countability and absolutes, Math. Sb. 98 (1975), 223-254; Math. USSR Sbornik 27 (1975), 199-226. (1975) 
  13. Viglino G., Extensions of functions and spaces, Trans. Amer. Math. Soc. 179 (1973), 61-69. (1973) Zbl0272.54012MR0322785

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