Details

Autor(en) / Beteiligte

• Osipov, Alexander V.

Titel

The Menger and projective Menger properties of function spaces with the set-open topology

Ist Teil von

• Mathematica Slovaca, 2019-06, Vol.69 (3), p.699-706

Ort / Verlag

Heidelberg: De Gruyter

Erscheinungsjahr

2019

Beschreibungen/Notizen

• For a Tychonoff space and a family λ of subsets of , we denote by ) the space of all real-valued continuous functions on with the set-open topology. A Menger space is a topological space in which for every sequence of open covers U , U , ... of the space there are finite sets F ⊂ U , F ⊂ U , ... such that family F ∪ F ∪ ... covers the space. In this paper, we study the Menger and projective Menger properties of a Hausdorff space ). Our main results state that