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Apartness and Uniformity: A Constructive Development (Theory and Applications of Computability)

Douglas S. Bridges, Luminiţa Simona Vîţă




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 | #6490043 in Books |  2011-09-08 | Original language:English | PDF # 1 |  9.21 x.50 x6.14l,1.05 | File type: PDF | 198 pages

||From the Back Cover||The theory presented in this book is developed constructively, is based on a few axioms encapsulating the notion of objects (points and sets) being apart, and encompasses both point-set topology and the theory of uniform spaces. While the cl

The theory presented in this book is developed constructively, is based on a few axioms encapsulating the notion of objects (points and sets) being apart, and encompasses both point-set topology and the theory of uniform spaces. While the classical-logic-based theory of proximity spaces provides some guidance for the theory of apartness, the notion of nearness/proximity does not embody enough algorithmic information for a deep constructive development. The use of cons...

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