Hereditarily normal Katětov spaces and extending of usco mappings

Ivailo Shishkov

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 1, page 183-196
  • ISSN: 0010-2628

Abstract

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Several classes of hereditarily normal spaces are characterized in terms of extending upper semi-continuous compact-valued mappings. The case of controlled extensions is considered as well. Applications are obtained for real-valued semi-continuous functions.

How to cite

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Shishkov, Ivailo. "Hereditarily normal Katětov spaces and extending of usco mappings." Commentationes Mathematicae Universitatis Carolinae 41.1 (2000): 183-196. <http://eudml.org/doc/248633>.

@article{Shishkov2000,
abstract = {Several classes of hereditarily normal spaces are characterized in terms of extending upper semi-continuous compact-valued mappings. The case of controlled extensions is considered as well. Applications are obtained for real-valued semi-continuous functions.},
author = {Shishkov, Ivailo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {set-valued mapping; usco mapping; extension of maps; selection; set-valued mapping; usco mapping; extension of maps; selection},
language = {eng},
number = {1},
pages = {183-196},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Hereditarily normal Katětov spaces and extending of usco mappings},
url = {http://eudml.org/doc/248633},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Shishkov, Ivailo
TI - Hereditarily normal Katětov spaces and extending of usco mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 1
SP - 183
EP - 196
AB - Several classes of hereditarily normal spaces are characterized in terms of extending upper semi-continuous compact-valued mappings. The case of controlled extensions is considered as well. Applications are obtained for real-valued semi-continuous functions.
LA - eng
KW - set-valued mapping; usco mapping; extension of maps; selection; set-valued mapping; usco mapping; extension of maps; selection
UR - http://eudml.org/doc/248633
ER -

References

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  10. Michael E., A theorem on semi-continuous set-valued functions, Duke Math. J. 26 (1959), 359-376. (1959) Zbl0151.30805MR0109343
  11. Nedev S., Selection and factorization theorems for set-valued mappings, Serdica 6 (1980), 291-317. (1980) Zbl0492.54006MR0644284
  12. Przymusiński T.C., Wage M., Collectionwise normality and extensions of locally finite coverings, Fund. Math. 109 (1980), 175-187. (1980) MR0597065
  13. Tong H., Some characterizations of normal and perfectly normal spaces, Duke Math. J. 19 (1952), 289-292. (1952) Zbl0046.16203MR0050265
  14. Urysohn P., Über die Mächtigkeit der zusammenhängenden Mengen, Math. Ann. 94 (1925), 262-295. (1925) MR1512258

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