The main goal of the paper is the full proof of a cardinal inequality for a space with points Gδ, obtained with the help of a long version of the Menger game. This result, which improves a similar one of Scheepers and Tall, was already established by the authors under the Continuum Hypothesis. The paper is completed by few remarks on a long version of the tightness game.

A definitive improvement of a game-theoretic bound and the long tightness game

Bella, A.
2018-01-01

Abstract

The main goal of the paper is the full proof of a cardinal inequality for a space with points Gδ, obtained with the help of a long version of the Menger game. This result, which improves a similar one of Scheepers and Tall, was already established by the authors under the Continuum Hypothesis. The paper is completed by few remarks on a long version of the tightness game.
2018
cardinality bound; Rothberger game; Menger game; tightness game
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/365717
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