Cohomology of groups with operators.
Cohomology of Lie groups made discrete.
We give a survey of the work of Milnor, Friedlander, Mislin, Suslin and other authors on the Friedlander-Milnor conjecture on the homology of Lie groups made discrete and its relation to the algebraic K-theory of fields.
Cohomology of S1-orbit Spaces of Cohomology Spheres and Cohomology Complex Projective Spaces.
Cohomology of some graded differential algebras
We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.
Cohomology of the Lagrange complex
Cohomology of the variational complex in the class of exterior forms of finite jet order.
Cohomology of the Yang-Mills gauge orbit space and dimensional reduction
Cohomology of Twisted Projective Spaces and Lena Complexes.
Cohomology of unipotent algebraic and finite groups and the Steenrod algebra.
Cohomology of unitary and symplectic groups.
Cohomology operations and the Deligne conjecture
The aim of this note, which raises more questions than it answers, is to study natural operations acting on the cohomology of various types of algebras. It contains a lot of very surprising partial results and examples.
Cohomology Operations Derived from Modular Invariants.
Cohomology operations in the K-theory of the classical groups
Cohomology rings of Artin groups
In this paper integer cohomology rings of Artin groups associated with exceptional groups are determined. Computations have been carried out by using an effective method for calculation of cup product in cellular cohomology which we introduce here. Actually, our method works in general for any finite regular complex with identifications, the regular complex being geometrically realized by a compact orientable manifold, possibly with boundary.
Cohomology rings of spaces of generic bipolynomials and extended affine Weyl groups of serie
A bipolynomial is a holomorphic mapping of a sphere onto a sphere such that some point on the target sphere has exactly two preimages. The topological invariants of spaces of bipolynomials without multiple roots are connected with characteristic classes of rational functions with two poles and generalized braid groups associated to extended affine Weyl groups of the serie . We prove that the cohomology rings of the spaces of bipolynomials of bidegree stabilize as tends to infinity and that...
Cohomology theories and infinite CW-Complexes.
Cohomology Theories In Synthetic Differential Geometry.
Cohomology theories on compact and locally compact spaces.
This paper is devoted to an exposition of cohomology theories on categories of spaces where the cohomology theories satisfy the type of axiom system considered in [1, 12, 16, 17, 18]. The categories considered are Ccomp, the category of all compact Haudorff spaces and continuous functions between them, and Cloc comp, the category of all locally compact Hausdorff spaces and proper continuous functions between them. The fundamental uniqueness theorem for cohomology theories on a finite dimensional...
Cohomotopy groups and shape in the sense of Fox
Co-H-structures on equivariant Moore spaces
Let G be a finite group, the category of canonical orbits of G and b a contravariant functor to the category of abelian groups. We investigate the set of G-homotopy classes of comultiplications of a Moore G-space of type (A,n) where n ≥ 2 and prove that if such a Moore G-space X is a cogroup, then it has a unique comultiplication if dim X < 2n - 1. If dim X = 2n-1, then the set of comultiplications of X is in one-one correspondence with . Then the case leads to an example of infinitely...