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Uniform Spaces

  • I. M. James
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The second section of this book is concerned with uniform spaces. These are structured sets of a different kind from those we have studied so far. As we shall see in due course, a uniform structure on a given set determines a topological structure on the same set. However, different uniform structures may determine the same topological structure. Moreover, there exist topological structures which cannot be obtained from a uniform structure.

Keywords

Topological Group Inverse Image Uniform Structure Uniform Space Neutral Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • I. M. James
    • 1
  1. 1.Mathematical InstituteUniversity of OxfordOxfordEngland

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