一个博弈论界和长紧度博弈的确定性改进
A definitive improvement of a game-theoretic bound and the long tightness game
摘要：
本文的主要目标是充分证明了一个基数不等式的空间点$G_δ$，获得了一个长版本的门格尔游戏的帮助。这一结果改进了Scheepers和Tall的一个类似结果，作者已经在连续统假设下建立了这一结果。这篇论文是由一个长版本的紧密性游戏的几句话完成的。
英文摘要：
The main goal of the paper is the full proof of a cardinal inequality for a space with points $G_δ$, 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
