semicontinuity
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Bounded variation — In mathematical analysis, a function of bounded variation refers to a real valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a… … Wikipedia
Hemicontinuity — In mathematics, the concept of continuity as it is defined for single valued functions is not immediately extendible to multi valued mappings or correspondences. In order to derive a more generalized definition, the dual concepts of upper… … Wikipedia
Czesław Olech — Born May 22, 1931 (1931 05 22) (age 80) Pińczów, Poland Nationality Polish … Wikipedia
Tonelli's theorem (functional analysis) — In mathematics, Tonelli s theorem in functional analysis is a fundamental result on the weak lower semicontinuity of nonlinear functionals on L p spaces. As such, it has major implications for functional analysis and the calculus of variations.… … Wikipedia
Semi-continuity — For the notion of upper or lower semicontinuous multivalued function see: Hemicontinuity In mathematical analysis, semi continuity (or semicontinuity) is a property of extended real valued functions that is weaker than continuity. A extended real … Wikipedia
Flat morphism — In mathematics, in particular in the theory of schemes in algebraic geometry, a flat morphism f from a scheme X to a scheme Y is a morphism such that the induced map on every stalk is a flat map of rings, i.e., : fP : OY,f(P) → OX,P is a flat map … Wikipedia
Kakutani fixed point theorem — In mathematical analysis, the Kakutani fixed point theorem is a fixed point theorem for set valued functions. It provides sufficient conditions for a set valued function defined on a convex, compact subset of a Euclidean space to have a fixed… … Wikipedia
Tonelli's theorem — In mathematics, Tonelli s theorem may refer to* Tonelli s theorem in measure theory, a successor of Fubini s theorem; * Tonelli s theorem in functional analysis, a fundamental result on the weak lower semicontinuity of nonlinear functionals on L… … Wikipedia
semicontinuous — adjective (of a function) That it is continuous almost everywhere, except at certain points at which it is either upper semi continuous or lower semi continuous. See Also: semicontinuity, hemicontinuous … Wiktionary
Nicola Fusco — Born 14 August 1956 (1956 08 14) (age 55) Napoli, Italy Nationality … Wikipedia
