Friday, 15:45 - 16:10 h, Room: H 0110


Tomas Bajbar
Nonsmooth versions of Sard's theorem


We present a comparison between some versions of Sard's Theorem which have been proven recently for special function classes with different definitions of critical points. The motivation for
calling a given point a critical point of a function varies. Considering the class of Ck functions, the
class of min-type functions or min-max functions, the motivation for the definition of critical point is
the topological structure of the inverse image. Considering the class of set-valued definable
mappings, the motivation for the definition of critical points is the property of metric regularity. We
compare topological critical points and critical points defined via metric regularity in the class of min-type
and min-max functions. We illustrate the whole problematic by some examples.


Talk 2 of the invited session Fri.3.H 0110
"Structural aspects of global optimization" [...]
Cluster 9
"Global optimization" [...]


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