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Erschienen in:
Buchtitelbild

1997 | OriginalPaper | Buchkapitel

The quotient space

verfasst von : J. W. S. Cassels

Erschienen in: An Introduction to the Geometry of Numbers

Verlag: Springer Berlin Heidelberg

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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.

Metadaten
Titel
The quotient space
verfasst von
J. W. S. Cassels
Copyright-Jahr
1997
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-62035-5_8