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arXiv · 2205.09562

Topology on diffeological vector spaces

Enxin Wu·Zhongqiang Yang
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Abstract

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 $k_\omega$-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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Enxin Wu, Zhongqiang Yang. 2022-05-19. Topology on diffeological vector spaces. https://arxiv.org/abs/2205.09562

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