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Coordination of topology and order of some topological and ordered algebraic systems. (Russian) Zbl 0556.54022

Following M. Sekanina and D. Adnadjević [Mat. Vesn., n. Ser. 8(23), 83-88 (1971; Zbl 0222.54040)], the author formulates three variants of the notion of compatibility between topology and order. Necessary and sufficient conditions as well as some nontrivial sufficient conditions are given for the validity of these different types of compatibility on a partially ordered topological group. The last two theorems of the paper are on partially ordered topological groups.
Reviewer: S.Gacsályi

MSC:

54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
22A99 Topological and differentiable algebraic systems

Citations:

Zbl 0222.54040
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