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Published in:
1997 | OriginalPaper | Chapter
The quotient space
Author : J. W. S. Cassels
Published in: An Introduction to the Geometry of Numbers
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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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.