TY  - JOUR
AU  - Chen, Yuxu
AU  - Kou, Hui
PY  - 2023
TI  - Core compactness of ordered topological spaces
JO  - AIMS Mathematics
SP  - 4862
EP  - 4874
VL  - 8
IS  - 2
AB  - In this paper, we investigate the property of core compactness of ordered topological spaces. Particularly, we give a series of characterizations of the core compactness for directed spaces. Several results obtained in this paper are closely related to a long-standing open problem in Open problems in Topology (J. van Mill, G. M. Reed Eds., North-Holland, 1990): Which distributive continuous lattice's spectrum is exactly a sober locally compact Scott space?
UR  - https://doi.org/10.3934/math.2023242
DO  - 10.3934/math.2023242