Geodesic
True preimages of compact or separable sets for functional analysts
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 1, pp. 69-82.

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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.
DOI : 10.14712/1213-7243.2020.007
Classification : 46A16, 46A30, 54C10, 54D65, 54E35, 54E40, 54E45, 54E50
Keywords: preimage; open map; complete metric space; $F$-space; $F$-lattice; compact set; uniformly open map; surpositive operator; lower semicontinuous set-valued map 
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Drewnowski, Lech. True preimages of compact or separable sets  for functional analysts. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 1, pp. 69-82. doi : 10.14712/1213-7243.2020.007. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.007/

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