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Displaying 1901 – 1920 of 3052

On the homotopy type of $Diff (M^{n})$ and connected problems

Dan Burghelea (1973)

Annales de l'institut Fourier

This paper reports on some results concerning:a) The homotopy type of the group of diffeomorphisms $Diff (M^{n})$ of a differentiable compact manifold $M^{n}$ (with $C^{\infty}$ -topology).b) the result of the homotopy comparison of this space with the group of all homeomorphisms Homeo $M^{n}$ (with $C^{o}$ -topology). As a biproduct, one gets new facts about the homotopy groups of $Diff (D^{n}, \partial D^{n}), {Top}_{n}$ , ${Top}_{n} / O_{n}$ and about the number of connected components of the space of topological and combinatorial pseudoisotopies.The results are contained in Section 1 and Section...

On the homotopy type of (n-1)-connected (3n+1)-dimensional free chain Lie algebra

Mahmoud Benkhalifa, Nabilah Abughzalah (2005)

Open Mathematics

Let R be a subring ring of Q. We reserve the symbol p for the least prime which is not a unit in R; if R ⊒Q, then p=∞. Denote by DGL nnp, n≥1, the category of (n-1)-connected np-dimensional differential graded free Lie algebras over R. In [1] D. Anick has shown that there is a reasonable concept of homotopy in the category DGL nnp. In this work we intend to answer the following two questions: Given an object (L(V), ϖ) in DGL n3n+2 and denote by S(L(V), ϖ) the class of objects homotopy equivalent...

On the horizontal cohomology with general coefficients

Marvan, Michal (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] A new cohomology theory suitable for understanding of nonlinear partial differential equations is presented. This paper is a continuation of the following paper of the author [Differ. geometry and its appl., Proc. Conf., Brno/Czech. 1986, Commun., 235-244 (1987; Zbl 0629.58033)].

On the Hurewicz image of the cokernel J spectrum

Norihiko Minami (1998)

Fundamenta Mathematicae

On the Hurewicz theorem for wedge sum of spheres.

Dalmagro, Fermin, Quintana, Yamilet (2005)

Revista Colombiana de Matemáticas

On the Index of Approximating Sets of Periodic Points.

Heinrich Steinlein (1996)

Manuscripta mathematica

On the Iterated Complex Transfer.

D. Carlisle, A. Baker, B.G24 Gray (1988)

Mathematische Zeitschrift

On the kernel of holonomy.

Ana Paula Caetano (1996)

Publicacions Matemàtiques

A connection on a principal G-bundle may be identified with a smooth group morphism H : GL∞(M) → G, called a holonomy, where GL∞(M) is a group of equivalence classes of loops on the base M. The present article focuses on the kernel of this morphism, which consists of the classes of loops along which parallel transport is trivial. Use is made of a formula expressing the gauge potential as a suitable derivative of the holonomy, allowing a different proof of a theorem of Lewandowski’s, which states...

On the K-Homology of Classifying Spaces.

Karlheinz Knapp (1978)

Mathematische Annalen

On the K-theory of the classifying space of a discrete group.

Alejandro Adem (1992)

Mathematische Annalen

On the K-theory of the classifying space of a discrete group (Erratum).

Alejandro Adem (1992)

Mathematische Annalen

On the Lefschetz fixed point theorem

Lech Górniewicz (2002)

Mathematica Slovaca

On the Lefschetz fixed point theorem for multivalued weighted mappings

Robert Skiba (2001)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On the level of projective spaces.

A. Pfister, S. Stolz (1987)

Commentarii mathematici Helvetici

On the Lie algebra of vertical prolongation operators

Josef Janyška (1982)

Czechoslovak Mathematical Journal

On the locally finite chain algebra of a proper homotopy type.

Baues, Hans-Joachim, Quintero, Antonio (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

On the loop homology of complex projective spaces

David Chataur, Jean-François Le Borgne (2011)

Bulletin de la Société Mathématique de France

In this short note we compute the Chas-Sullivan BV-algebra structure on the singular homology of the free loop space of complex projective spaces. We compare this result with computations in Hochschild cohomology.

Currently displaying 1901 – 1920 of 3052

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Displaying 1901 – 1920 of 3052

On the homotopy type of $Diff (M^{n})$ and connected problems

On the homotopy type of (n-1)-connected (3n+1)-dimensional free chain Lie algebra

On the horizontal cohomology with general coefficients

On the Hurewicz image of the cokernel J spectrum

On the Hurewicz theorem for wedge sum of spheres.

On the Index of Approximating Sets of Periodic Points.

On the Iterated Complex Transfer.

On the kernel of holonomy.

On the K-Homology of Classifying Spaces.

On the K-theory of the classifying space of a discrete group.

On the K-theory of the classifying space of a discrete group (Erratum).

On the Lefschetz fixed point theorem

On the Lefschetz fixed point theorem for multivalued weighted mappings

On the level of projective spaces.

On the Lie algebra of vertical prolongation operators

On the locally finite chain algebra of a proper homotopy type.

On the loop homology of complex projective spaces

On the Lusternik-Schnirelmann category in the theory of shape

On the Lusternik-Schnirelmann Category of Lie Groups.

On the Lusternik-Schnirelmann Category of Lie Groups: II.

Currently displaying 1901 – 1920 of 3052