On some forms of quasi-uniform convergence of transfinite sequence of multifunctions

Marian Przemski. "On some forms of quasi-uniform convergence of transfinite sequence of multifunctions." Commentationes Mathematicae 50.1 (2010): null. <http://eudml.org/doc/291817>.

@article{MarianPrzemski2010,
abstract = {In this paper we introduce various forms of convergence of transfinite sequences of multifunctions with values in a quasi-uniform space. We also study some weak types of continuity for such multifunctions. Any such sequence of multifunctions generates the sequence of the sets of weak types of continuity points and the sequence of various types of cluster sets of members of such sequence. We study the connection between convergence of a transfinite sequences of multifunctions and convergence of the corresponding sequences of the sets of the weak continuity points and the sequences of cluster sets. Some of the presented results concern of general nets of multifunctions.},
author = {Marian Przemski},
journal = {Commentationes Mathematicae},
keywords = {convergences; quasiuniform; multifunctions; generalized continuity; hyperspaces; cluster sets},
language = {eng},
number = {1},
pages = {null},
title = {On some forms of quasi-uniform convergence of transfinite sequence of multifunctions},
url = {http://eudml.org/doc/291817},
volume = {50},
year = {2010},
}

TY - JOUR
AU - Marian Przemski
TI - On some forms of quasi-uniform convergence of transfinite sequence of multifunctions
JO - Commentationes Mathematicae
PY - 2010
VL - 50
IS - 1
SP - null
AB - In this paper we introduce various forms of convergence of transfinite sequences of multifunctions with values in a quasi-uniform space. We also study some weak types of continuity for such multifunctions. Any such sequence of multifunctions generates the sequence of the sets of weak types of continuity points and the sequence of various types of cluster sets of members of such sequence. We study the connection between convergence of a transfinite sequences of multifunctions and convergence of the corresponding sequences of the sets of the weak continuity points and the sequences of cluster sets. Some of the presented results concern of general nets of multifunctions.
LA - eng
KW - convergences; quasiuniform; multifunctions; generalized continuity; hyperspaces; cluster sets
UR - http://eudml.org/doc/291817
ER -