A complete Heyting algebra whose Scott space is non-sober

Xu, XQ; Xi, XY; Zhao, DS

Xu, XQ (corresponding author), Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China.

FUNDAMENTA MATHEMATICAE, 2021; 252 (3): 315

Abstract

We prove that (1) for any complete lattice L, the set D(L) of all non-empty saturated compact subsets of the Scott space of L is a complete Heyting al......

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