Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-11T00:08:38.477Z Has data issue: false hasContentIssue false
  • English
  • Français

Some results about Minkowski addition and difference

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Luis Montejano
Luis Montejano
Affiliation:
Instituto de Matematicas, Universidad Nacional Autonoma de Mexico, Ciudad Universitaria, Mexico D. F., C.P. 04510, Mexico.
Get access

Extract

The sum or Minkowski addition of two subsets, A, B ⊂ En is defined by:

MSC classification

Secondary: 52A20: Convex sets in $n$ dimensions (including convex hypersurfaces)
Type
Research Article
Information
Mathematika , Volume 43 , Issue 2 , December 1996 , pp. 265 - 273
Copyright
Copyright © University College London 1996

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Goodey, P. R.. Connectivity and freely rolling convex bodies. Mathematika, 29 (1982), 249–259.CrossRefGoogle Scholar
2.Lacher, R. C.. Cell-like mappings and their generalizations. Bull. Amer. Math. Soc., 83 (1977), 495–552.CrossRefGoogle Scholar
3.Schneider, R.. Convex Bodies: The Brunn-Minkowsky Theory. Encyclopedia of Mathematics and its Applications 44 (Cambridge University Press, 1993).Google Scholar
4.Weil, W.. Eine Charakterisierung von Summanden konvexer Korper, Arch. Math., 34 (1980), 283–288.CrossRefGoogle Scholar