Equivariant Alexander-Spanier cohomology for actions of compact Lie groups.
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 Eilenberg MacLane spaces K(..., 1) for possibly non-connected or empty fixed point sets.
Extensions of G-maps and Euclidean G-retracts.