arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.14773math.DSmath.CO
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国际象棋台球

Chess Billiards

Arnaldo Nogueira, Serge Troubetzkoy

摘要:

我们表明,国际象棋台球地图,这是在[HM],以研究推广的$n$皇后问题在国际象棋中,是一个圆同胚。我们给出了一个调查的一些已知的结果,圈同胚,并应用到这个地图。我们证明了一些新的结果,这些结果回答了[HM]中提出的一些悬而未决的问题。

英文摘要:

We show the chess billiard map, which was introduced in [HM] in order to study a generalization of the $n$-Queens problem in chess, is a circle homeomorphism. We give a survey of some of the known results on circle homeomorphisms, and apply them to this map. We prove a number of new results which give answers to some of the open questions posed in [HM].

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。

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