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Remarks on a Translative Formula for Sets of Positive Reach
Authors:Jan Rataj
Affiliation:(1) Matematický Ústav, Karlova Universita, Skolovská 83, 18600 Praha 8, Czech Republic
Abstract:
An example of a pair of sets of positive reach is presented, violating a condition assuring the intersection of these sets to have positive reach for almost all translations of one of these sets. The same condition ensures the validity of a translative formula proved recently in Geom. Dedicata 57 (1995), 259--283.
Keywords:principal kinematic formula  translative integral geometry  set of positive reach  differentiable extension  fractal set.
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