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A proof–technique in uniform space theory

  • Douglas Bridges (a1) and Luminiţa Vîţă (a2)

In the constructive theory of uniform spaces there occurs a technique of proof in which the application of a weak form of the law of excluded middle is circumvented by purely analytic means. The essence of this proof–technique is extracted and then applied in several different situations.

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[1] M. J. Beeson , Foundations of constructive mathematics, Springer-Verlag, Heidelberg, 1985.

[2] E. Bishop and D. S. Bridges , Constructive analysis, Grundlehren der mathematischen Wissenschaften, vol. 279, Springer–Verlag, Heidelberg, 1985.

[5] D. S. Bridges and F. Richman , Varieties of constructive mathematics, London Mathematical Society Lecture Notes, no. 95, Cambridge University Press, London, 1987.

[6] D. S. Bridges , F. Richman , and P. M. Schuster , A weak countable choice principle, Proceedings of the American Mathematical Society, vol. 128 (2000), no. 9, p. 27492752.

[8] D. S. Bridges and L. S. Vîţă , Apartness spaces as a framework for constructive topology, Annals of Pure and Applied Logic, vol. 119 (2002), no. 1–3, p. 6183.

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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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