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math.GN2023
Some observations on a clopen version of the Rothberger property
Manoj Bhardwaj, Alexander V. Osipov
In this paper, we proved that a clopen version of the Rothberger property and Borel strong measure zeroness are independent. For a zero-dimensional metric space $(X…
math.GN2023
Covering games using semi-open sets
Manoj Bhardwaj, Alexander V. Osipov
In this paper, we prove the following Theorems 1. An extremally disconnected space has the semi-Menger property if and only if One does not have a winning strategy in the game…