On e-Menger Spaces

Authors: Ljubisa D. R. Kočinac, Diana Dolićanin Đekić ́

Keywords: e-open set, e-Menger space, e-perfect mapping, e-Menger game, partition relation.

DOI:https://doi.org/10.46793/SPSUNP2502.087K

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Abstract:

We study a version of the classical Menger covering property, called e-Menger property, by using covers by so-called e-covers. Relations with other Menger-type proper- ties and game-theoretic and Ramsey-theoretic characterizations of this property are given.