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Author

Renan Maneli Mezabarba

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Preprint Aug 2026

Menger and Rothberger games on convergence spaces

We introduce Menger and Rothberger selection principles and games for convergence spaces. Alice plays families that meet every convergent filter, and Bob's selections are required either to retain this property or merely to cover the underlying set. When the convergence is topological, both games recover the classical...

Renan Maneli Mezabarba, Rodrigo Santos Monteiro · 0 citations
Preprint Sep 2026

Primeless proofs of the Menger and Rothberger games

We continue the study of the Menger and Rothberger games on lattices carried out in"Pointless proofs of the Menger and Rothberger games"(Topology Appl. 300 (2021), 107774). This time, we extend the earlier results by dropping some hypotheses that turned out to be unnecessary, and use Stone duality to recover known game...

Renan Maneli Mezabarba · 0 citations

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