島根大学理学部
島根大学理学部紀要

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島根大学理学部紀要 Volume 21
published_at 1987-12-25

ある局所凸線形位相空間の位相的性質

Topological Properties of Some Locally Convex Linear Topological Spaces
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c0010021r002.pdf ( 685 KB )
Descriptions
In this paper, we introduce a topology T in a real vector space L such that (L, T) is a locally convex linear topological space and T is the strongest locally convex topology contained in the finite topology. Furthermore, we show that (L, T) is an M_<1->space and an AR (stratifiable)-space.