Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 21
1987-12-25 発行

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
Miwa, Takuo
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Description
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.