Teisi in .
The Classification of Simply Connected H-Spaces with Three Cells II.
The classification of weighted projective spaces
We obtain two classifications of weighted projective spaces: up to hoeomorphism and up to homotopy equivalence. We show that the former coincides with Al Amrani's classification up to isomorphism of algebraic varieties, and deduce the latter by proving that the Mislin genus of any weighted projective space is rigid.
The Etale Homotopy Theorie of a Geometric Fibration.
The Homotopoy Type of Four-Dimensional Knot Complements.
The Homotype Type of a Combinatorially Aspherical Presentation.
The Mumford conjecture
The Mumford Conjecture asserts that the rational cohomology of the stable moduli space of Riemann surfaces is a polynomial algebra on the Mumford-Morita-Miller characteristic classes; this can be reformulated in terms of the classifying space derived from the mapping class groups. The conjecture admits a topological generalization, inspired by Tillmann’s theorem that admits an infinite loop space structure after applying Quillen’s plus construction. The text presents the proof by Madsen and...
The normalizer of the Weyl group.
The rational homotopy theory of smooth, complex projective varieties
The set of rational homotopy types with given cohomology algebra.
The Whitehead group of a polynomial extension
There exists a polyhedron dominating infinitely many different homotopy types
Topological deformation of higher dimensional automata.
Topological -theory of the integers at the prime 2.
Topological realization of a family of pseudoreflection groups
We are interested in a topological realization of a family of pseudoreflection groups ; i.e. we are looking for topological spaces whose mod-p cohomology is isomorphic to the ring of invariants . Spaces of this type give partial answers to a problem of Steenrod, namely which polynomial algebras over can appear as the mod-p cohomology of a space. The family under consideration is given by pseudoreflection groups which are subgroups of the wreath product where q divides p - 1 and where p is...
Trees of Homotopy Types of Two-Dimensional CW-Complexes
Type d'homotopie des treillis et treillis des sous-groupes d'un groupe fini.