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Uniform spaces

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Uniform spaces --- Algebraic fields

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Topology --- Uniform spaces --- Topologie

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This book is based on a course taught to an audience of undergraduate and graduate students at Oxford, and can be viewed as a bridge between the study of metric spaces and general topological spaces. About half the book is devoted to relatively little-known results, much of which is published here for the first time. The author sketches a theory of uniform transformation groups, leading to the theory of uniform spaces over a base and hence to the theory of uniform covering spaces. Readers interested in general topology will find much to interest them here.

Uniform spaces. --- Spaces, Uniform --- Structures, Uniform --- Uniform structures --- Quasi-uniform spaces --- Topology --- Nearness spaces --- Uniform spaces

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Topology --- Proximity spaces. --- Uniform spaces. --- Espaces de proximité.