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Théorème du graphe fermé dans les G-espaces topologiques.

R. Ameziane Hassani, A. Blali, A. Bouziani (2004)

Extracta Mathematicae

In this paper we introduce the notion of topological G-spaces. This is an intermediate class between G-sets and A-modules. After giving suitable definitions and illustrating examples, we prove a theorem of closed graph theorem type.

True preimages of compact or separable sets for functional analysts

Lech Drewnowski (2020)

Commentationes Mathematicae Universitatis Carolinae

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.

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