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 26
published_at 1992-12-25

対ベースと対ネットワークによって特徴付けられる空間

Spaces Characterized by Pair Bases and Pair Networks
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c0010026r007.pdf ( 708 KB )
Descriptions
In this paper, we introduce the notions of semi,elastic and semi-stratonormal spaces, and show that a space is elastic (resp. stratonormal) if and only if it is semi-elastic (resp. semi-stratonormal) and monotonically normal. Furthermore. we show that semi-elastic and semi-stractonormal spaces are characteraized by some pair networks.