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

top
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

top

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

top
  1. Blaszczyk A., On a factorization lemma and a construction of absolutes without separation axioms, Proc. Fourth Prague Topology Symp. 1976, Part B Contributed Papers, General Topology and its Relation to Modern Analysis and Algebra, Soc. Czechoslovak Mathematicians and Physicists, Prague, 1977, pp.45-50. MR0478097
  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
  5. Dow A., Porter J., Cardinalities of H-closed spaces Topology Proceedings, 7 (1982), 27-50. (1982) MR0696618
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.