# On $\delta $-continuous selections of small multifunctions and covering properties

Commentationes Mathematicae Universitatis Carolinae (1991)

- Volume: 32, Issue: 1, page 155-159
- ISSN: 0010-2628

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topFedeli, Alessandro, and Pelant, Jan. "On $\delta $-continuous selections of small multifunctions and covering properties." Commentationes Mathematicae Universitatis Carolinae 32.1 (1991): 155-159. <http://eudml.org/doc/247252>.

@article{Fedeli1991,

abstract = {The spaces for which each $\delta $-continuous function can be extended to a $2\delta $-small point-open l.s.cṁultifunction (resp. point-closed u.s.cṁultifunction) are studied. Some sufficient conditions and counterexamples are given.},

author = {Fedeli, Alessandro, Pelant, Jan},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {$\delta $-continuous selections; small multifunctions; paracompactness; orthocompactness; -continuous selections; small multifunctions; paracompactness; orthocompactness},

language = {eng},

number = {1},

pages = {155-159},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {On $\delta $-continuous selections of small multifunctions and covering properties},

url = {http://eudml.org/doc/247252},

volume = {32},

year = {1991},

}

TY - JOUR

AU - Fedeli, Alessandro

AU - Pelant, Jan

TI - On $\delta $-continuous selections of small multifunctions and covering properties

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1991

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 32

IS - 1

SP - 155

EP - 159

AB - The spaces for which each $\delta $-continuous function can be extended to a $2\delta $-small point-open l.s.cṁultifunction (resp. point-closed u.s.cṁultifunction) are studied. Some sufficient conditions and counterexamples are given.

LA - eng

KW - $\delta $-continuous selections; small multifunctions; paracompactness; orthocompactness; -continuous selections; small multifunctions; paracompactness; orthocompactness

UR - http://eudml.org/doc/247252

ER -

## References

top- Burke D.K., Orthocompactness and perfect mappings, Proc. Amer. Math. Soc. 79 (1980), 484-486. (1980) Zbl0433.54005MR0567998
- Burke D.K., Covering properties, Chapter 9 of Handbook of set-theoretic topology, edited by K. Kunen and J.E. Vaughan, Elsevier Science Publishers, B.V., North Holland, 1984, 347-422. Zbl0569.54022MR0776628
- Gruenhage G., On closed images of orthocompact spaces, Proc. Amer. Math. Soc. 77 (1979), 389-394. (1979) Zbl0422.54013MR0545602
- Klee V., Stability of the fixed point theory, Colloq. Math. 8 (1961), 43-46. (1961) MR0126261
- Muenzenberger T.B., On the proximate fixed point property for multifunctions, Colloq. Math. 19 (1968), 245-250. (1968) Zbl0181.26203MR0227968
- Schirmer H., $\delta $-continuous selections of small multifunctions, Can. J. Math. XXIV, (4) (1972), 631-635. (1972) Zbl0219.54012MR0300255
- Smithson R.E., A note on $\delta $-continuity and proximate fixed points for multi-valued functions, Proc Amer. Math. Soc. 23 (1969), 256-260. (1969) Zbl0183.27703MR0248774

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