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Embedding metric spaces into CPO’s. (English) Zbl 0485.68040


MSC:

03D60 Computability and recursion theory on ordinals, admissible sets, etc.
06B23 Complete lattices, completions
54E35 Metric spaces, metrizability
Full Text: DOI

References:

[1] Scott, D., Outline of the mathematical theory of computation, Proc. 4th Princeton Conference on Information Science (1970)
[2] Lacombe, D., Quelques procédés de définitions en topologie recursif, (Constructivity in Mathematics (1959), North-Holland: North-Holland Amsterdam), 129-158 · Zbl 0089.00701
[3] Martin-Löf, P., Notes on Constructive Mathematics (1970), Almquist & Wiksell: Almquist & Wiksell Stockholm · Zbl 0273.02021
[4] Smyth, M. B., Effectively given domains, Theoret. Comput. Sci., 5, 257-274 (1977) · Zbl 0429.03028
[5] Bourbaki, N., General Topology, Part 2 (1966), Addison-Wesley: Addison-Wesley Reading, MA · Zbl 0145.19302
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[7] Markowsky, G.; Rosen, B. K., Bases for chain-complete posets, IBM Research Report RC 5363 (1975) · Zbl 0329.06001
[8] Scott, D., Continuous lattices, (Lecture Notes in Mathematics, 274 (1972), Springer: Springer Berlin) · Zbl 0239.54006
[9] M. Nivat and A. Arnold, Calculus infinis, interpretations metriques et plus grands points fixes, TR 78-19, Laboratoire Informatique Théorique et Programmation, Paris.; M. Nivat and A. Arnold, Calculus infinis, interpretations metriques et plus grands points fixes, TR 78-19, Laboratoire Informatique Théorique et Programmation, Paris. · Zbl 0486.68013
[10] Wright, J. B.; Wagner, E. G.; Thatcher, J. W., A uniform approach to inductive posets and inductive closure, Theoret. Comput. Sci., 7, 57-77 (1978) · Zbl 0732.06001
[11] Weihrauch, K.; Schreiber, U., Metric spaces defined by weighted algebraic cpo’s, (Budach, L., Fundamentals of Computation Theory, Bd., 2 (1979), Akademic Verlag: Akademic Verlag Berlin) · Zbl 0485.68040
[12] Kuratowski, K., Topology (1966), Academic Press: Academic Press New York, London · Zbl 0158.40901
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