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arXiv 0903.3055math.GTmath.GN
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作为余维1流形因子检测器的路径协调

Path concordances as detectors of codimension-one manifold factors

Robert J Daverman, Denise Halverson

摘要:

本文给出了ENR同调流形X的一个新性质--不相交路径协调性,它精确地刻画了X乘R具有不相交路径协调性的条件.因此,X乘以R是流形当且仅当X是可分解的,并且它具有不相交路径协调性质。

英文摘要:

We present a new property, the Disjoint Path Concordances Property, of an ENR homology manifold X which precisely characterizes when X times R has the Disjoint Disks Property. As a consequence, X times R is a manifold if and only if X is resolvable and it possesses this Disjoint Path Concordances Property.

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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