Displaying similar documents to “A differentiable structure in the set of all bundle-sections over compact subsets”

On the invariant variational sequences in mechanics

Šeděnková, Jana

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Summary: The r -th order variational sequence is the quotient sequence of the De Rham sequence on the r th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory...

Differentiable structure in a conjugate vector bundle of infinite dimension

Paweł Urbański

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CONTENTSIntroductionChapter I. Differentiation in Cartesian products of normed and infrabarrelled of DF-type spaces§ 1. Preliminaries......................................................................................................................................................................... 7§ 2. Fundamental definitions...................................................................................................................................................... 7§ 3....