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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© 1997 Springer-Verlag Berlin Heidelberg
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Cassels, J.W.S. (1997). The quotient space. In: An Introduction to the Geometry of Numbers. Classics in Mathematics, vol 99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-62035-5_8
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DOI: https://doi.org/10.1007/978-3-642-62035-5_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61788-4
Online ISBN: 978-3-642-62035-5
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