Boundaries of upper semicontinuous set valued maps

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 -