Hostname: page-component-848d4c4894-nr4z6 Total loading time: 0 Render date: 2024-05-19T11:20:03.185Z Has data issue: false hasContentIssue false

Some results about Minkowski addition and difference

Published online by Cambridge University Press:  26 February 2010

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, BEn is defined by:

Type
Research Article
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), 249259.CrossRefGoogle Scholar
2.Lacher, R. C.. Cell-like mappings and their generalizations. Bull. Amer. Math. Soc., 83 (1977), 495552.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), 283288.CrossRefGoogle Scholar