[PDF.80bj] Apartness and Uniformity: A Constructive Development (Theory and Applications of Computability)

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

[PDF.do79] Apartness and Uniformity: A Constructive Development (Theory and Applications of Computability)

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 | #6935350 in Books |  2013-12-31 |  2013-12-31 | Original language:English | PDF # 1 |  9.25 x.48 x6.10l,.67 | File type: PDF | 198 pages

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||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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