Abstract
For pairs of compact convex sets there exist several invariants. One of these invariants has already been discussed in Theorem 3.4.6, namely the steepest ascent and descent directions of the corresponding DCH-function. In this chapter we discuss invariants which belong only to minimal pairs of compact convex sets and not belong to the whole class. Such invariants are the affine dimension and codimension of the union of a minimal pair of compact convex sets.
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© 2002 Springer Science+Business Media Dordrecht
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Pallaschke, D., Urbański, R. (2002). Invariants. In: Pairs of Compact Convex Sets. Mathematics and Its Applications, vol 548. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9920-7_9
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DOI: https://doi.org/10.1007/978-94-015-9920-7_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6149-2
Online ISBN: 978-94-015-9920-7
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