论文标题
差异矢量空间的拓扑
Topology on diffeological vector spaces
论文作者
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.