TELGARSKY'S CONJECTURE MAY FAIL

Brian Will; Dow Alan; Milovich David; Yengulalp Lynne

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TELGARSKY'S CONJECTURE MAY FAIL

机译：Telgarsky的猜想可能会失败

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摘要

Telgarsky's conjecture states that for each k is an element of N, there is a topological space X-k such that in the Banach-Mazur game on X-k, the player nonempty has a winning (k + 1)-tactic but no winning k-tactic. We prove that this statement is consistently false.

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《Israel Journal of Mathematics》 |2021年第1期|共34页
作者
Brian Will; Dow Alan; Milovich David; Yengulalp Lynne;
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作者单位

Univ North Carolina Charlotte Dept Math &

Stat Charlotte NC 28223 USA;

Univ North Carolina Charlotte Dept Math &

Stat Charlotte NC 28223 USA;

Welkin Sci Colorado Springs CO 80903 USA;

Wake Forest Univ Dept Math &

Stat Winston Salem NC 27101 USA;

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原文格式 PDF
正文语种 eng
中图分类数学;
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专利

1. Some remarks on a Telgarsky's conjecture concerning products of paracompact spaces [J] . K. Alster Topology and its applications . 2009,第8期

机译：关于Telgarsky关于超紧空间的乘积猜想的一些评论
2. Fuglede's conjecture fails in 4 dimensions over odd prime fields [J] . Discrete mathematics . 2020,第1期

机译：Fuglede的猜想在奇数主要领域的4个维度失败
3. The Jacobian Conjecture fails for pseudo-planes [J] . Dubouloz Adrien, Palka Karol Advances in Mathematics . 2018,第期

机译：雅各比猜测失败了伪飞机
4. The Lazy Adversary Conjecture fails [C] . Enoch Peserico Annual ACM symposium on parallel algorithms and architectures . 2002

机译：懒惰的对手猜想失败了
5. Conjecturing in dynamic geometry: A model for conjecture-generation through maintaining dragging [D] . Baccaglini-Frank, Anna. 2010

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6. FAKE TORI THE ANNULUS CONJECTURE AND THE CONJECTURES OF KIRBY [O] . W. C. Hsiang, J. L. Shaneson 1969

机译：假托里无名氏假想和基比的假想
7. Some remarks on a Telgarsky's conjecture concerning products of paracompact spaces [O] . Alster K. 2009

机译：关于超紧凑空间乘积的Telgarsky猜想的一些说明
8. Model Checking Failed Conjectures in Theorem Proving: A Case Study [R] . Pike, Lee, Miner, Paul, Torres-Pomales, Wilfredo 2004

机译：模型检验定理证明中的失败猜想：一个案例研究

TELGARSKY'S CONJECTURE MAY FAIL

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