| A. Edalat, "Domains for Computation in Mathematics, Physics and Exact Real Arithmetic", The Bulletin of Symbolic Logic, vol. 3 (1997), pp. 401--452. |
....R R) The proofs of 1.4(1) 4) are standard. See [8] 24] and [1] as a general reference. The proof of 1. 4(5) is best given by using the methods of realnumber computability in certain effectively presented domains as developed by Abbas Edalat and his collaborators in a series of papers, see [12] for a comprehensive overview. Our method here, however, extends ideas of computability to many more types beyond domains. We point out again that when [F ] 2 ] A B) for two types A and B in PER(P) the same computable representative F : P P also represents a morphism [F ] A ] B. In ....
....8 Can we simplify and generalize some of the results on computability of topological spaces by working in PER(P) with topological objects instead of just countably based countable T 0 spaces 3. 1 Metric Spaces Computability in metric spaces has been studied extensively, see for example Edalat [12], Wagner [35] Smyth [31] and America and Rutter [3] Every 14 metric space (M; d) with the topology induced by the metric is a T 0 space; in fact, it is a normal Hausdorff space. It is countably based if, and only if, it is separable, i.e. it contains a countable dense set. The topology on a ....
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A. Edalat, "Domains for Computation in Mathematics, Physics and Exact Real Arithmetic", The Bulletin of Symbolic Logic, vol. 3 (1997), pp. 401--452.
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A. Edalat, "Domains for Computation in Mathematics, Physics and Exact Real Arithmetic", The Bulletin of Symbolic Logic, vol. 3 (1997), pp. 401--452.
No context found.
A. Edalat, "Domains for Computation in Mathematics, Physics and Exact Real Arithmetic", The Bulletin of Symbolic Logic, vol. 3 (1997), pp. 401--452.
No context found.
A. Edalat, "Domains for computation in mathematics, physics, and exact real arithmetic", Bulletin of Symbolic Logic, 1997, Vol. 3, No. 4, pp. 401-- 452.
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