On the Homotopy Type of Classifying Spaces.
On the homotopy type of and connected problems
This paper reports on some results concerning:a) The homotopy type of the group of diffeomorphisms of a differentiable compact manifold (with -topology).b) the result of the homotopy comparison of this space with the group of all homeomorphisms Homeo (with -topology). As a biproduct, one gets new facts about the homotopy groups of , 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
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
[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
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.
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.
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
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.
On the Lusternik-Schnirelmann category in the theory of shape
On the Lusternik-Schnirelmann Category of Lie Groups.