Ends of Maps, II.
Enquivariant Surgery on Incompressible Tori and Klein Bottles in 3-Manifolds with Respect to Involutions.
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 Alexander-Spanier cohomology for actions of compact Lie groups.
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 approximate fibrations.
Equivariant classification of 2-torus manifolds
We consider locally standard 2-torus manifolds, which are a generalization of small covers of Davis and Januszkiewicz and study their equivariant classification. We formulate a necessary and sufficient condition for two locally standard 2-torus manifolds over the same orbit space to be equivariantly homeomorphic. This leads us to count the equivariant homeomorphism classes of locally standard 2-torus manifolds with the same orbit space.
Equivariant cohomology with local coefficients
Equivariant Complex Vector Bundles over Spheres.
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 Euler characteristics and -homology Euler classes for proper cocompact -manifolds.
Equivariant Framability of Involutions on Homotopy Spheres.
Equivariant Gottlieb groups
Equivariant Jets.
Equivariant K-theory and representations of Hecke algebras. II.
Equivariant L-Theory I.
Equivariant L-Theory II.
Equivariant maps of joins of finite G-sets and an application to critical point theory
A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function , where G is a finite nontrivial group acting freely and orthogonally on . Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk’s Antipodal Theorem for equivariant maps of joins of G-sets.
Equivariant Nielsen theory