On δ -continuous selections of small multifunctions and covering properties

Alessandro Fedeli; Jan Pelant

Commentationes Mathematicae Universitatis Carolinae (1991)

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

Abstract

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

How to cite

top

Fedeli, 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
  1. Burke D.K., Orthocompactness and perfect mappings, Proc. Amer. Math. Soc. 79 (1980), 484-486. (1980) Zbl0433.54005MR0567998
  2. 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
  3. Gruenhage G., On closed images of orthocompact spaces, Proc. Amer. Math. Soc. 77 (1979), 389-394. (1979) Zbl0422.54013MR0545602
  4. Klee V., Stability of the fixed point theory, Colloq. Math. 8 (1961), 43-46. (1961) MR0126261
  5. Muenzenberger T.B., On the proximate fixed point property for multifunctions, Colloq. Math. 19 (1968), 245-250. (1968) Zbl0181.26203MR0227968
  6. Schirmer H., δ -continuous selections of small multifunctions, Can. J. Math. XXIV, (4) (1972), 631-635. (1972) Zbl0219.54012MR0300255
  7. Smithson R.E., A note on δ -continuity and proximate fixed points for multi-valued functions, Proc Amer. Math. Soc. 23 (1969), 256-260. (1969) Zbl0183.27703MR0248774

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.