True preimages of compact or separable sets for functional analysts

Lech Drewnowski

Commentationes Mathematicae Universitatis Carolinae (2020)

  • Volume: 61, Issue: 1, page 69-82
  • ISSN: 0010-2628

Abstract

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We discuss various results on the existence of ‘true’ preimages under continuous open maps between F -spaces, F -lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts.

How to cite

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Drewnowski, Lech. "True preimages of compact or separable sets for functional analysts." Commentationes Mathematicae Universitatis Carolinae 61.1 (2020): 69-82. <http://eudml.org/doc/297183>.

@article{Drewnowski2020,
abstract = {We discuss various results on the existence of ‘true’ preimages under continuous open maps between $F$-spaces, $F$-lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts.},
author = {Drewnowski, Lech},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {preimage; open map; complete metric space; $F$-space; $F$-lattice; compact set; uniformly open map; surpositive operator; lower semicontinuous set-valued map},
language = {eng},
number = {1},
pages = {69-82},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {True preimages of compact or separable sets for functional analysts},
url = {http://eudml.org/doc/297183},
volume = {61},
year = {2020},
}

TY - JOUR
AU - Drewnowski, Lech
TI - True preimages of compact or separable sets for functional analysts
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2020
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 61
IS - 1
SP - 69
EP - 82
AB - We discuss various results on the existence of ‘true’ preimages under continuous open maps between $F$-spaces, $F$-lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts.
LA - eng
KW - preimage; open map; complete metric space; $F$-space; $F$-lattice; compact set; uniformly open map; surpositive operator; lower semicontinuous set-valued map
UR - http://eudml.org/doc/297183
ER -

References

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