Compact differentiable transformation groups on exotic spheres.
Compact Lie Group Actions with Isotropy Subgroups of Maximal Rank.
Continuous mappings with an infinite number of topologically critical points
We prove that the topological φ-category of a pair (M,N) of topological manifolds is infinite if the algebraic φ-category of the pair of fundamental groups (π₁(M),π₁(N)) is infinite. Some immediate consequences of this fact are also pointed out.
Cyclic homology and equivariant theories
In this article, we present two possible extensions of the classical theory of equivariant cohomology. The first, due to P. Baum, R. MacPherson and the author, is called the “delocalized theory". We attempt to present it in very concrete form for a circle action on a smooth manifold. The second is the cyclic homology of the crossed- product algebra of the algebra of smooth functions on a manifold, by the convolution algebra of smooth functions on a Lie group, when such Lie group act on the manifold....
Deformations of Algebras and Cohomology of Fixed Point Sets.
Der Conner-Floyd-Isomorphismus für Abelsche Gruppen.
Differentiable Circle Group Actions on Homotopy Complex Projective Spaces.
Differentiable S1 Actions on Homotopy Spheres.
Distributions invariant under compact Lie groups
Einige Bemerkungen zur Entfaltung symmetrischer Funktionen.
Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeomorphism to a linear system on a Lie group or a homogeneous space if and only if the vector fields of the system are complete and generate a finite dimensional Lie algebra. A vector field on a connected Lie group is linear if its flow is a one parameter group of automorphisms. An affine vector field is obtained by adding a left invariant one. Its projection on a homogeneous space, whenever it exists,...
Equivariant algebraic topology
Let be a topological group. We give the existence of an equivariant homology and cohomology theory, defined on the category of all -pairs and -maps, which both satisfy all seven equivariant Eilenberg-Steenrod axioms and have a given covariant and contravariant, respectively, coefficient system as coefficients.In the case that is a compact Lie group we also define equivariant -complexes and mention some of their basic properties.The paper is a short abstract and contains no proofs.
Equivariant Eilenberg MacLane spaces K(..., 1) for possibly non-connected or empty fixed point sets.
Equivariant embeddings of finite abelian group actions in euclidean space
Equivariant Jets.
Equivariant weak -equivalences.
Errata to the paper "Equivariant embeddings of finite abelian group action in euclidean space" Fundamenta Mathematicae 110 (1980), pp. 25-33
Evaluation of the Transfer and the Universal Surgery Classes.
Examples of Asymmetrie Differentiable Manifolds.
Exotic S1 Actions on CP3 and Related Topics.