A logical presentation of the continuous functionals

Journal of Symbolic Logic 62 (3):1021-1034 (1997)
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Interpretation of analysis by means of constructive functionals of finite types.Georg Kreisel - 1959 - In A. Heyting (ed.), Constructivity in mathematics. Amsterdam,: North-Holland Pub. Co.. pp. 101--128.
Total sets and objects in domain theory.Ulrich Berger - 1993 - Annals of Pure and Applied Logic 60 (2):91-117.
Filter spaces and continuous functionals.J. M. E. Hyland - 1979 - Annals of Mathematical Logic 16 (2):101-143.

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