The Degree of a Map Between Surfaces.
The degrees of certain strata of the dual variety
The dilatation invariant in the homotopy of spheres.
The d-invariant of compact nilmanifolds.
The double bar and cobar constructions
The -term of the descent spectral sequence for continuous -spectra.
The E. H. P. Spectral Sequence.
The e-invariant and the spectrum of the Lapacian for compact nilmanifolds covered by Heisenberg groups.
The equivalence of -groupoids and crossed complexes
The equivalence of -groupoids and cubical -complexes
The Equivariant Bundle Subtraction Theorem and its applications
In the theory of transformation groups, it is important to know what kind of isotropy subgroups of G do occur at points of the space upon which the given group G acts. In this article, for a finite group G, we prove the Equivariant Bundle Subtraction Theorem (Theorem 2.2) which allows us to construct smooth G-manifolds with prescribed isotropy subgroups around the G-fixed point sets. In Theorem 0.1, we restate Oliver's result about manifolds M and G-vector bundles over M that occur, respectively,...
The equivariant homotopy type of G-ANR's for proper actions of locally compact groups
We prove that if G is a locally compact Hausdorff group then every proper G-ANR space has the G-homotopy type of a G-CW complex. This is applied to extend the James-Segal G-homotopy equivalence theorem to the case of arbitrary locally compact proper group actions.
The equivariant -homomorphism.
The eta invariant and metrics of positive scalar curvature.
The eta Invariant and ...O of Lens Spaces.
The eta invariant and the K-theory of odd dimensional spherical space forms.
The Etale Homotopy Theorie of a Geometric Fibration.
The Euler Characteristic is the Unique Locally Determined Numerical Homotopy Invariant of Finite Complexes.
The Euler characteristic of a category.
The Euler-Poincaré-Hopf theorem for flat connections in some transitive Lie algebroids
This paper is a continuation of [19], [21], [22]. We study flat connections with isolated singularities in some transitive Lie algebroids for which either or or are isotropy Lie algebras. Under the assumption that the dimension of the isotropy Lie algebra is equal to , where is the dimension of the base manifold, we assign to any such isolated singularity a real number called an index. For -Lie algebroids, this index cannot be an integer. We prove the index theorem (the Euler-Poincaré-Hopf...