Topology on diffeological vector spaces

2022/05/19 by Wu, Enxin, Yang, Zhongqiang
#FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN)

paper · doi:10.48550/arxiv.2205.09562

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_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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