Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences

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Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences 8
1975-03-10 発行

商位相順序空間について(II)

On the Quotient Topological Ordered Spaces(II)
Miwa, Takuo
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Description
In §1, for a topological ordered space X and an equivalence relation R on X, we shall study some sufficient conditions for X/R to be T_2-ordered. In §2, we shall investigate the necessary and suffieient condition of R for X/R to be T_2-0rdered, which is an analogue of a known fact in general topology. ( [1] §8 Proposition 8 or [2] Chapter 3 Theorem 11)