Boundaries of upper semicontinuous set valued maps

Iwo Labuda

Commentationes Mathematicae (2005)

  • Volume: 45, Issue: 2
  • ISSN: 2080-1211

Abstract

top
Let x 0 be a q-point of a regular space X , Y a Hausdorff space whose relatively countably compact subsets are relatively compact and let F : X Y be an upper semicontinuous set valued map. Then the active boundary Frac F ( x 0 ) is the smallest compact kernel of F at x 0 .

How to cite

top

Iwo Labuda. "Boundaries of upper semicontinuous set valued maps." Commentationes Mathematicae 45.2 (2005): null. <http://eudml.org/doc/291609>.

@article{IwoLabuda2005,
abstract = {Let $x_0$ be a q-point of a regular space $X, Y$ a Hausdorff space whose relatively countably compact subsets are relatively compact and let $F\colon X \rightarrow Y$ be an upper semicontinuous set valued map. Then the active boundary $\operatorname\{Frac\} F (x_0)$ is the smallest compact kernel of $F$ at $x_0$.},
author = {Iwo Labuda},
journal = {Commentationes Mathematicae},
keywords = {Upper semicontinuous set valued map; active boundary; Choquet kernel; Vaı̆ns̆teı̆n-Choquet-Dolecki Theorem; compact filter base},
language = {eng},
number = {2},
pages = {null},
title = {Boundaries of upper semicontinuous set valued maps},
url = {http://eudml.org/doc/291609},
volume = {45},
year = {2005},
}

TY - JOUR
AU - Iwo Labuda
TI - Boundaries of upper semicontinuous set valued maps
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 2
SP - null
AB - Let $x_0$ be a q-point of a regular space $X, Y$ a Hausdorff space whose relatively countably compact subsets are relatively compact and let $F\colon X \rightarrow Y$ be an upper semicontinuous set valued map. Then the active boundary $\operatorname{Frac} F (x_0)$ is the smallest compact kernel of $F$ at $x_0$.
LA - eng
KW - Upper semicontinuous set valued map; active boundary; Choquet kernel; Vaı̆ns̆teı̆n-Choquet-Dolecki Theorem; compact filter base
UR - http://eudml.org/doc/291609
ER -

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.