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On the topology of semi-algebraic functions on closed semi-algebraic sets
topology of semi-algebraic functions closed semi-algebraic sets
2011/1/20
We consider a closed semi-algebraic set X Rn and a C2 semi-algebraic function f : Rn ! R such that f|X has a finite number of critical points. We relate the topology of X to the topology of the sets...
Green functions, the fine topology and restoring coverings
Harmonic measure Jensen measures Subharmonic functions
2011/2/22
There are several equivalent ways to define continuous harmonic functions H(K) on a compact set K in Rn. One may let H(K) be the unform closures of all functions in C(K) which are restrictions of harm...