Higher-order preconnections in synthetic differential geometry of jet bundles.
Nishimura, Hirokazu (2004)
Beiträge zur Algebra und Geometrie
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Nishimura, Hirokazu (2004)
Beiträge zur Algebra und Geometrie
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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.
Koptev, A.V. (2004)
Sibirskij Matematicheskij Zhurnal
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Dinamérico Pereira, Jr. Pombo (1998)
Commentationes Mathematicae Universitatis Carolinae
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Compatible topologies and bornologies on modules are introduced and studied.
Welsh, T.A. (1995)
Séminaire Lotharingien de Combinatoire [electronic only]
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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 manifold. The previous attempt in [5] is corrected, several equivalent definitions are presented.
Chaoling Huang, Kai Deng (2013)
Matematički Vesnik
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Brini, Andrea (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Ramacher, Pablo (2005)
Journal of Lie Theory
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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 and Γ(E₀,E₁,D) the family of arcs joining E₀ to E₁ in D. We establish new cases of equality , where is the p-module of the arc family Γ(E₀,E₁,D), while is the p-capacity of E₀,E₁ relative to D and p > 1. One of these cases is when p = n, E̅₀ ∩ E̅₁ = ∅, , is inaccessible from D by rectifiable arcs, is open relative to D̅ or to the boundary ∂D of D, is at most countable, is closed (i =...