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

2017/11/08 by Leandro F. Aurichi, Aurichi, Leandro F., Angelo Bella +1
Computer Science · Mathematics · #54D20 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #General Topology (math.GN) #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1711.03217

openalex publication_date 2017/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main goal of the paper is the full proof of a cardinal inequality for a\nspace with points G_\δ , obtained with the help of a long version of the\nMenger game. This result, which improves a similar one of Scheepers and Tall,\nwas already established by the authors under the Continuum Hypothesis. The\npaper is completed by few remarks on a long version of the tightness game.\n

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