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Lecture XIV

In: Lectures on the Geometry of Numbers

Author

Listed:
  • Carl Ludwig Siegel
  • Komaravolu Chandrasekharan

    (ETH Zürich, Mathematik)

Abstract

A boundary point of R is a point in S, such that arbitrarily near to it (in the sense of the Euclidean distance in the space S) there exist points belonging to R and points not belonging to R. [Notation as in § 1 of Lecture XIII.] A boundary point of R may not belong to P; for example, the zero matrix does not belong to P, yet it is a boundary point of R, because λT (λ arbitrary positive) belongs to R if T does, and we may let λ tend to zero.

Suggested Citation

  • Carl Ludwig Siegel & Komaravolu Chandrasekharan, 1989. "Lecture XIV," Springer Books, in: Lectures on the Geometry of Numbers, pages 138-144, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-08287-4_14
    DOI: 10.1007/978-3-662-08287-4_14
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