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Stratified L-ordered quasiuniform limit spaces

机译：50个分层排序的拟均匀极限空间

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摘要

By making use of the intrinsic lattice-valued inclusion orders of L-subsets and that of stratified L-filters, a concept of stratified L-ordered quasiuniform limit structure is proposed, which is asymmetric and available to establish a framework of asymmetric structures. Then the category of stratified L-ordered quasiuniform limit spaces is introduced and its categorical properties are shown. The next objective of the paper is to propose a concept of stratified L-ordered principle quasiuniform limit space, and we prove that the category of stratified L-quasiuniform spaces can be embedded into the category of stratified L-quasiuniform limit spaces as a bireflective subcategory. Moreover, two ways of inducing stratified L-ordered limit structures from stratified L-ordered quasiuniform structures are presented, and the method of obtaining stratified [0, 1 ]-ordered quasiuniform structures from [0,1 ]-ordered probabilistic quasiuniform limit structures and fuzzy quasi-metrics is introduced in the paper.
机译：通过利用L-子集和分层L-滤波器的内在晶格值包含阶，提出了一种分层的L阶拟均匀极限结构的概念，该结构是非对称的，可用于建立非对称结构的框架。然后介绍了分层的L阶拟一致极限空间的类别，并显示了其分类性质。本文的下一个目标是提出分层L阶原理拟一致极限空间的概念，我们证明分层L拟一致极限空间的类别可以作为双反射子类别嵌入到分层L拟一致极限空间的类别中。此外，提出了两种从分层的L阶拟均匀结构中导出分层的L阶极限结构的方法，并提出了从[0,1]阶概率拟均匀极限结构中获得分层的[0，1]阶拟均匀结构的方法。本文介绍了模糊准度量。

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