On the Homology of Non-Connected Monoids and Their Associated Groups
On the homology of the special linear group ove a number field.
On the homotopy embeddability of complexes in Euclidean space. I. The weak thickening theorem.
On the homotopy equivalence of the spaces of proper and local maps
We prove that for n > 1 the space of proper maps P 0(n, k) and the space of local maps F 0(n, k) are not homotopy equivalent.
On the homotopy groups of a finite dimensional space.
On the homotopy inverse limits of transfer maps.
On the Homotopy of Non-Nilpotent Spaces.
On the homotopy of the complement to plane algebraic curves.
On the Homotopy Properties of Thom Complexes.
On the Homotopy Type of Classifying Spaces.
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 Hurewicz theorem for wedge sum of spheres.
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 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 maps of one fibre space into another
On the Mislin genus of certain circle bundles and noncancellation.
On the Mod p Torus Theorem of John Hubbuck.