Relative Compactness for Hyperspaces

Sianesi, Francesca. "Relative Compactness for Hyperspaces." Serdica Mathematical Journal 25.1 (1999): 11-18. <http://eudml.org/doc/11501>.

@article{Sianesi1999,
abstract = {The present paper contains results characterizing relatively compact subsets of the space of the closed subsets of a metrizable space, equipped with various hypertopologies. We investigate the hyperspace topologies that admit a representation as weak topologies generated by families of gap functionals defined on closed sets, as well as hit-and-miss topologies and proximal-hit and-miss topologies.},
author = {Sianesi, Francesca},
journal = {Serdica Mathematical Journal},
keywords = {Hyperspaces Topologies; Relative Compactness; Sup Measures; Gap Functional; hyperspace topologies; relative compactness; sup measures; gap functional},
language = {eng},
number = {1},
pages = {11-18},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Relative Compactness for Hyperspaces},
url = {http://eudml.org/doc/11501},
volume = {25},
year = {1999},
}

TY - JOUR
AU - Sianesi, Francesca
TI - Relative Compactness for Hyperspaces
JO - Serdica Mathematical Journal
PY - 1999
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 25
IS - 1
SP - 11
EP - 18
AB - The present paper contains results characterizing relatively compact subsets of the space of the closed subsets of a metrizable space, equipped with various hypertopologies. We investigate the hyperspace topologies that admit a representation as weak topologies generated by families of gap functionals defined on closed sets, as well as hit-and-miss topologies and proximal-hit and-miss topologies.
LA - eng
KW - Hyperspaces Topologies; Relative Compactness; Sup Measures; Gap Functional; hyperspace topologies; relative compactness; sup measures; gap functional
UR - http://eudml.org/doc/11501
ER -