Strictly complete regularity of the Lawson topology on a continuous poset

Topology and its Applications

Volumn 103, Issue 1, 2000, Pages 37-42

  Xu, Xiao Quan ^a  

^a JIANGXI NORMAL UNIVERSITY   (China)

Author keywords

Continuous poset; Lawson topology; Strictly complete regularity

Indexed keywords

EID: 0242384060     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(98)00166-7     Document Type: Article

References (7)

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4. J.D. Lawson, M. Mislove, Problems in domain theory and topology, in: Open Problems in Topology, North-Holland, Amsterdam, 1990, pp. 350-372.
5. J.D. Lawson, Order and strongly Sober compactifications, in: Topology and Category Theory in Computer Science, Oxford Press, Oxford, 1991, pp. 179-205.
6. D.S. Scott, Continuous lattices, in: Toposes, Algebraic Geometry, and Logic, Lecture Notes in Math., Vol. 274, Springer, Berlin, 1972, pp. 97-136.
7. Xu Xiaoquan, Construction of homomorphism of M-continuous lattices, Trans. Amer. Math. Soc. 347 (1995) 3167-3175.