Maps between classifying spaces.
Fake Lie groups with maximal tori. IV.
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...
Fake Lie groups and maximal tori. III.
Fake Lie groups and maximal tori. II.
Fake Lie groups and maximal tori. I.
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.
On Davis-Januszkiewicz homotopy types I: formality and rationalisation.
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