Uniform Spaces

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


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.


Topological Group Inverse Image Uniform Structure Uniform Space Neutral Element 
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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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