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The quotient space

  • J. W. S. Cassels
Part of the Classics in Mathematics book series (volume 99)

Abstract

Before resuming the general study of the geometry of numbers, it is convenient to introduce here the concept of the quotient space of an n-dimensional space by a lattice. This concept plays an important rôle in the discussion of inhomogeneous problems in Chapter XI: but we shall also need it in Chapter VIII as it gives the most natural interpretation of Minkowski’S theorem about the successive minima of a convex body with respect to a lattice.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • J. W. S. Cassels
    • 1
  1. 1.Department of Pure Mathematics and Mathematical StatisticsUniversity of CambridgeCambridgeUK

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