On a Theorem of Barden.
On deformations of spherical isometric foldings
The behavior of special classes of isometric foldings of the Riemannian sphere under the action of angular conformal deformations is considered. It is shown that within these classes any isometric folding is continuously deformable into the standard spherical isometric folding defined by .
On Fibrations and nilpotency - some remarks upon two articles by I. M. James.
On genera of polyhedra
We consider the stable homotopy category S of polyhedra (finite cell complexes). We say that two polyhedra X,Y are in the same genus and write X ∼ Y if X p ≅ Y p for all prime p, where X p denotes the image of Xin the localized category S p. We prove that it is equivalent to the stable isomorphism X∨B 0 ≅Y∨B 0, where B 0 is the wedge of all spheres S n such that π nS(X) is infinite. We also prove that a stable isomorphism X ∨ X ≅ Y ∨ X implies a stable isomorphism X ≅ Y.
On homotopical equivalence of tolerance spaces
On Homotopy Invariance of Higher Signatures.
On H-spaces over a base space.
On Poincaré 3-Complexes with Binary Polyhedral Fundamental Group.
On shape and fundamental deformation retracts
On shape and fundamental deformation retracts II
On spaces of the same strong -type.
On the 2-type of an iterated loop space.
On the genus of finite CW-H-spaces
On the group of homotopy equivalences of simply connected five manifolds.
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 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 Self-Equivalences of a Space with Non-cyclic Fundamental Group.