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We propose a geometric definition of the Euler characteristic χ(M) for the class of compact epi-Lipschitzian sets M⊂Rn and we provide existence theorems of (generalized) equilibria for set-valued mappings F when the domain M of F is neither assumed to be convex, nor smooth but has a nonzero Euler characteristic.
Positivity – Springer Journals
Published: Oct 12, 2004
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