论文标题

差异矢量空间的拓扑

Topology on diffeological vector spaces

论文作者

Wu, Enxin, Yang, Zhongqiang

论文摘要

预计$ d $ - 学术学使每个差异矢量空间成为拓扑矢量空间。我们表明,通过$k_Ω$ - 空间理论,大量的差异向量空间就是这种情况,但通常情况并非如此。本文还提出了一类几乎拓扑矢量空间的研究。

It is expected that the $D$-topology makes every diffeological vector space into a topological vector space. We show that it is the case for a large class of diffeological vector spaces via $k_ω$-space theory, but not so in general. The paper also proposes the study of a class of almost topological vector spaces.

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