# Some refinements of a selection theorem with O-dimensional domain

Fundamenta Mathematicae (1992)

- Volume: 140, Issue: 3, page 279-287
- ISSN: 0016-2736

## Access Full Article

top## Abstract

top## How to cite

topMichael, B.. "Some refinements of a selection theorem with O-dimensional domain." Fundamenta Mathematicae 140.3 (1992): 279-287. <http://eudml.org/doc/211946>.

@article{Michael1992,

abstract = {The following known selection theorem is sharpened, primarily, by weakening the hypothesis that all the sets φ(x) are closed in Y: Let X be paracompact with dimX = 0, let Y be completely metrizable and let φ:X → 𝓕(Y) be l.s.c. Then φ has a selection.},

author = {Michael, B.},

journal = {Fundamenta Mathematicae},

keywords = {continuous selections},

language = {eng},

number = {3},

pages = {279-287},

title = {Some refinements of a selection theorem with O-dimensional domain},

url = {http://eudml.org/doc/211946},

volume = {140},

year = {1992},

}

TY - JOUR

AU - Michael, B.

TI - Some refinements of a selection theorem with O-dimensional domain

JO - Fundamenta Mathematicae

PY - 1992

VL - 140

IS - 3

SP - 279

EP - 287

AB - The following known selection theorem is sharpened, primarily, by weakening the hypothesis that all the sets φ(x) are closed in Y: Let X be paracompact with dimX = 0, let Y be completely metrizable and let φ:X → 𝓕(Y) be l.s.c. Then φ has a selection.

LA - eng

KW - continuous selections

UR - http://eudml.org/doc/211946

ER -

## References

top- [B] D. Burke, Covering properties, in: Handbook of Set-Theoretic Topology, North-Holland, Amsterdam 1984, 347-422.
- [M1] E. Michael, A note on paracompact spaces, Proc. Amer. Math. Soc. 4 (1953), 831-838. Zbl0052.18701
- [M2] E. Michael, Selected selection theorems, Amer. Math. Monthly 63 (1956), 233-238. Zbl0070.39502
- [M3] E. Michael, Continuous selections I, Ann. of Math. 63 (1956), 361-382. Zbl0071.15902
- [M4] E. Michael, Continuous selections II, Ann. of Math. 64 (1956), 562-580. Zbl0073.17702
- [M5] E. Michael, The product of a normal space and a metric space need not be normal, Bull. Amer. Math. Soc. 69 (1963), 375-376. Zbl0114.38904
- [M6] E. Michael, Continuous selections and countable sets, Fund. Math. 111 (1981), 1-10. Zbl0455.54012
- [M7] E. Michael, A generalization of a theorem on continuous selections, Proc. Amer. Math. Soc. 105 (1989), 236-243. Zbl0675.54018

## Citations in EuDML Documents

top## NotesEmbed ?

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