On a characterization of normal and countably paracompact spaces via set-avoiding selections

Stoyu Barov

Commentationes Mathematicae Universitatis Carolinae (2008)

  • Volume: 49, Issue: 1, page 45-52
  • ISSN: 0010-2628

Abstract

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We give a characterization of normal and countably paracompact spaces via continuous set-avoiding selections.

How to cite

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Barov, Stoyu. "On a characterization of normal and countably paracompact spaces via set-avoiding selections." Commentationes Mathematicae Universitatis Carolinae 49.1 (2008): 45-52. <http://eudml.org/doc/250495>.

@article{Barov2008,
abstract = {We give a characterization of normal and countably paracompact spaces via continuous set-avoiding selections.},
author = {Barov, Stoyu},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {normal and countably paracompact; set-avoiding selections; normal and countably paracompact space; boundary avoiding selection},
language = {eng},
number = {1},
pages = {45-52},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On a characterization of normal and countably paracompact spaces via set-avoiding selections},
url = {http://eudml.org/doc/250495},
volume = {49},
year = {2008},
}

TY - JOUR
AU - Barov, Stoyu
TI - On a characterization of normal and countably paracompact spaces via set-avoiding selections
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 1
SP - 45
EP - 52
AB - We give a characterization of normal and countably paracompact spaces via continuous set-avoiding selections.
LA - eng
KW - normal and countably paracompact; set-avoiding selections; normal and countably paracompact space; boundary avoiding selection
UR - http://eudml.org/doc/250495
ER -

References

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  1. Alexandroff P., Pasynkov B.A., Introduction to Dimension Theory (Russian), Nauka, Moscow, 1973. 
  2. Barov S., Dijkstra J.J., 10.2140/pjm.2002.203.79, Pacific J. Math. 203 1 (2002), 79-87. (2002) Zbl1059.54020MR1895926DOI10.2140/pjm.2002.203.79
  3. Barov S., Dijkstra J.J., On closed sets with convex projections under narrow sets of directions, Trans. Amer. Math. Soc., to appear. Zbl1156.52002MR2434297
  4. Dowker C.H., 10.4153/CJM-1951-026-2, Canad. J. Math. 3 (1951), 219-224. (1951) Zbl0042.41007MR0043446DOI10.4153/CJM-1951-026-2
  5. Engelking R., General Topology, translated from Polish by the author, 2nd ed., Sigma Series in Pure Mathematics 6, Heldermann Verlag, Berlin, 1989. Zbl0684.54001MR1039321
  6. Katětov M., On real valued functions in topological spaces, Fund. Math. 38 (1951), 85-91. (1951) MR0050264
  7. Michael E., 10.2307/1969615, Ann. of Math. (2) 63 (1956), 361-382. (1956) Zbl0071.15902MR0077107DOI10.2307/1969615
  8. van Mill J., The infinite dimensional topology of function spaces, North-Holland Mathematical Library, 64, Elsevier Science B.V., Amsterdam, 2001. Zbl0969.54003MR1851014

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