Displaying similar documents to “Continuity of projections of natural bundles”

On special types of nonholonomic 3 -jets

Ivan Kolář (2012)

Archivum Mathematicum

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We deduce a classification of all special types of nonholonomic 3 -jets. In the introductory part, we summarize the basic properties of nonholonomic r -jets.

On the functorial prolongations of principal bundles

Ivan Kolář, Antonella Cabras (2006)

Commentationes Mathematicae Universitatis Carolinae

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We describe the fundamental properties of the infinitesimal actions related with functorial prolongations of principal and associated bundles with respect to fiber product preserving bundle functors. Our approach is essentially based on the Weil algebra technique and an original concept of weak principal bundle.

Natural transformations between T²₁T*M and T*T²₁M

Miroslav Doupovec (1991)

Annales Polonici Mathematici

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We determine all natural transformations T²₁T*→ T*T²₁ where T k r M = J 0 r ( ℝ k , M ) . We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.

Quasi-sums in several variables.

Maksa, Gyula, Nizsalóczki, Enikő (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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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.

Pairwise monotonically normal spaces

Josefa Marín, Salvador Romaguera (1991)

Commentationes Mathematicae Universitatis Carolinae

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We introduce and study the notion of pairwise monotonically normal space as a bitopological extension of the monotonically normal spaces of Heath, Lutzer and Zenor. In particular, we characterize those spaces by using a mixed condition of insertion and extension of real-valued functions. This result generalizes, at the same time improves, a well-known theorem of Heath, Lutzer and Zenor. We also obtain some solutions to the quasi-metrization problem in terms of the pairwise monotone normality. ...