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Vol.33 (1) 2011 — 3 results found.

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Explicit proof of Poincaré inequality for differential forms on manifolds
C. R. Math. Rep. Acad. Sci. Canada Vol. 33 (1) 2011, pp. 21–32
Leonid Shartser (Received: 2010/05/28)

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We prove a Poincaré type inequality for differential forms on compact manifolds by means of a constructive ‘globalization’ of a local Poincaré inequality on convex sets.

On prouve une inégalité de Poincaré pour les formes différentielles sur les variétés compactes à l’aide d’une ‘globalisation’ constructive d’une inégalité de Poincaré locale pour les ensembles convexes.

Dimension groups and multidimensional continued fractions
C. R. Math. Rep. Acad. Sci. Canada Vol. 33 (1) 2011, pp. 11–20
Gregory R. Maloney (Received: 2009/12/13, Revised: 2010/02/17)

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We describe a class of dimension groups associated with multidimensional continued fractions and show how a certain property of a continued fraction is reflected in the structure of its dimension group.

On décrit une classe de groupes de dimensions associés aux fractions continues multidimensionnelles et on montre comment une certaine propriété d’une fraction continue se reflète dans la structure de son groupe de dimensions.

Exact sequences for equivariantly formal spaces
C. R. Math. Rep. Acad. Sci. Canada Vol. 33 (1) 2011, pp. 1–10
Matthias Franz; Volker Puppe (Received: 2010/03/03, Revised: 2010/05/05)

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Let \(T\) be a torus. We present an exact sequence relating the relative equivariant cohomologies of the skeletons of an equivariantly formal \(T\)-space. This sequence, which goes back to Atiyah and Bredon, generalizes the so-called Chang–Skjelbred lemma. As coefficients, we allow prime fields and subrings of the rationals, including the integers. We extend to the same coefficients a generalization of this “Atiyah–Bredon sequence” for actions without fixed points which has recently been obtained by Goertsches.

Soit \(T\) un tore et soit \(X\) un \(T\)-espace dont la cohomologie équivariante est libre sur \(H^*(BT)\). Nous construisons une suite exacte liant les cohomologies relatives equivariantes des squelettes de \(X\), et dont les coefficients sont à valeurs dans un corps premier ou dans un sous-anneau des nombres rationnels, y compris l’anneau des entiers. Cette suite, qui remonte à Atiyah et Bredon, généralise le lemme de Chang–Skjelbred. Goertsches et Töben ont récemment démontré qu’une modification de cette suite “d’Atiyah–Bredon” à coefficients réels est exacte dans le cas plus général d’une action sans points fixes. Nous montrons que ceci reste vrai pour les coefficients mentionnés ci-dessus.

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Most used Keywords

algebraic number theory approximation property automorphisms Bessel functions Boson-fermion correspondence C*-algebra Carmichael number center problem Chebyshev transform classification Classification of simple C*-algebras composition operators continued fractions Cuntz Semigroup elliptic curves fixed point Fourier transform function fields. functoriality general relativity generic property ideals indefinite inner product inductive limits of sub-homogeneous C*- algebras Irrational rotation algebra J-Hermitian matrix K-theory Kahler manifolds L-functions maximal ideal space nonexpansive mapping numerical range orthogonal polynomials Predual space prime number property SP Renormalization rotation algebras Salem number semi-reciprocal polynomials tracially approximate splitting interval algebras unbounded traces uniqueness Weak Markov set Whitney problems

Most used AMS

05C05 11A07 11A55 11B37 11B68 11D09 11D25 11D41 11E04 11F11 11F66 11F67 11G05 11R09 11R11 13B25 14J26 14M25 14P10 17B37 17B67 19K14 19K56 26A51 30C15 30H05 35B 37E10 37E20 37F25 39B72 42C05 43A07 46B20 46L05 46L35 46L40 46L55 46L80 47H10 53B25 53C55 54C60 60F10 83C05

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