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arXiv 0712.2143math.COmath.KT
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内射词的复合词及其交换类

Complexes of Injective Words and Their Commutation Classes

Jakob Jonsson, Volkmar Welker

摘要:

设$S$为有限字母表。在$S$上的内射词是在$S$上的词,使得$S$中的每个字母在该词中最多出现一次。研究了$S$上单射词的布尔胞腔复形及其对易类。这概括了法默、比约纳和瓦克斯关于所有内射词的复合体的工作。

英文摘要:

Let $S$ be a finite alphabet. An injective word over $S$ is a word over $S$ such that each letter in $S$ appears at most once in the word. We study Boolean cell complexes of injective words over $S$ and their commutation classes. This generalizes work by Farmer and by Björner and Wachs on the complex of all injective words.

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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