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arXiv 1610.07366math.GNmath.DG
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Espaces connectifs:représentations,feuilletages,ordres,difféologies

Espaces connectifs : représentations, feuilletages, ordres, difféologies

Stéphane Dugowson

摘要:

这篇文章是我以前的文章“关于连通性空间”的延续。经过一些简短的历史参考有关的主题,分离空间,然后伴随概念的连接表示和连接叶理的发展。以前只在有限情况下定义的连通性顺序现在被推广到所有连通性空间,因此连接叶理。最后,我们研究了连通性与拓扑空间之间的函子关系,并给出了可拓扑连通性空间的一个刻画。

英文摘要:

This article is a continuation of my former article "On Connectivity Spaces". After some brief historical references relating to the subject, separation spaces and then adjoint notions of connective representation and connective foliation are developed. The connectivity order previously defined only in the finite case is now generalised to all connectivity spaces, and so to connective foliations. Finally, we start the study of some functorial relations between connectivity and diffeological spaces, and we give a characterization of diffeologisable connectivity spaces.

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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