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L-contiguities and their order structure

机译:L连续性及其顺序结构

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摘要

The present paper introduces L-contiguity and L-merotopy and presents a unified study of L-proximity, L-contiguity and L-merotopy on a set X. Corresponding to each L-contiguity there is an L-merotopy which is contigual, if this L-contiguity is obtained by restricting the cardinality of a given L-merotopy, then the two L-merotopies in hand are the same. It is shown that the family of all L-contiguities and the family of all L-contiguities, which induce a given L-proximity, form complete distributive lattices.
机译:本文介绍了L邻接和L形,并提出了对集合X的L邻近,L邻接和L形的统一研究。对应于每个L邻接,有一个L形是连续的,如果该L连续性是通过限制给定L-金属的基数而获得的,那么手中的两个L-金属是相同的。结果表明,所有L邻接的族和所有L邻接的族(它们诱导给定的L邻近)形成完整的分布格。

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