Displaying similar documents to “A note on distribution spaces on manifolds.”

On topological invariants of vector bundles

Zbigniew Szafraniec (1992)

Annales Polonici Mathematici

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Let E → W be an oriented vector bundle, and let X(E) denote the Euler number of E. The paper shows how to calculate X(E) in terms of equations which describe E and W.

An intrinsic definition of the Colombeau generalized functions

Jiří Jelínek (1999)

Commentationes Mathematicae Universitatis Carolinae

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A slight modification of the definition of the Colombeau generalized functions allows to have a canonical embedding of the space of the distributions into the space of the generalized functions on a 𝒞 manifold. The previous attempt in [5] is corrected, several equivalent definitions are presented.

New cases of equality between p-module and p-capacity

Petru Caraman (1991)

Annales Polonici Mathematici

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Let E₀, E₁ be two subsets of the closure D̅ of a domain D of the Euclidean n-space n and Γ(E₀,E₁,D) the family of arcs joining E₀ to E₁ in D. We establish new cases of equality M p Γ ( E , E , D ) = c a p p ( E , E , D ) , where M p Γ ( E , E , D ) is the p-module of the arc family Γ(E₀,E₁,D), while c a p p ( E , E , D ) is the p-capacity of E₀,E₁ relative to D and p > 1. One of these cases is when p = n, E̅₀ ∩ E̅₁ = ∅, E i = E i ' E i ' ' E i ' ' ' F i , E i ' is inaccessible from D by rectifiable arcs, E i ' ' is open relative to D̅ or to the boundary ∂D of D, E i ' ' ' is at most countable, F i is closed (i =...