島根大学理学部
ISSN:0387-9925
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島根大学理学部紀要 20
1986-12-25 発行
単体的複体の局所凸位相
A Locally Convex Topology of Simplicial Complexes
三輪 拓夫
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内容記述（抄録等）
In simplicial complexes, the Whitehead topology and the metric topology are well known. In the class of full simplicial complexes, the metric topology is locally convex, while the Whitehead topology is not necessarily locally convex. In this paper, we consider the strongest topology in the class of full simplicial complexes which is locally convex and is contained in the Whitehead topology, and study some interesting topological properties ; for example, M_1-ness and ANR (M_1).
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