Algebraic Combinatorics Seminar
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UNIVERSITY OF KENTUCKY **

ALGEBRAIC COMBINATORICS SEMINAR

845 PATTERSON OFFICE TOWER

SPRING 2004

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Invariant valuations on `star-shaped' sets

Scott Godefroy

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Wednesday, April 21, 2004

1:00 pm, 845 Patterson Office Tower

NOTE DAY!

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Abstract:

A subset of R^n is called star-shaped if it contains the origin and its
intersection with any line passing through the origin is a closed
interval. We will discuss Daniel Klain's 1996 characterization of
certain 'continuous' set functions (valuations) defined on these sets
and invariant under rotations.