arXiv:2211.15027 Abstract | arXiv Analytics

arXiv:2211.15027 [math.GN]Abstract References Reviews Resources

On sobriety of Scott topology on dcpos

Published 2022-11-28Version 1

In this paper, we mainly investigate the conditions under which the Scott topology on the product of two posets is equal to the product of the individual Scott topologies and under which the Scott topology on a dcpo is sober. Some such conditions are given.

Comments: 20 pages, 3 figures

Categories: math.GN

Subjects: 54D99, 54B20, 06B30, 06B35

Keywords: scott topology, individual scott topologies, conditions

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