Displaying similar documents to “Quasi-definiteness of generalized Uvarov transforms of moment functionals.”

A cohomological index of Fuller type for parameterized set-valued maps in normed spaces

Robert Skiba (2014)

Open Mathematics

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We construct a cohomological index of the Fuller type for set-valued flows in normed linear spaces satisfying the properties of existence, excision, additivity, homotopy and topological invariance. In particular, the constructed index detects periodic orbits and stationary points of set-valued dynamical systems, i.e., those generated by differential inclusions. The basic methods to calculate the index are also presented.

The Hausdorff dimension of some special plane sets

Jan Mařík (1994)

Mathematica Bohemica

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A compact set T ⊂ 𝐑 2 is constructed such that each horizontal or vertical line intersects T in at most one point while the α -dimensional measure of T is infinite for every α ∈ ( 0 , 2 ) .