253 citations
- Institute for High Energy PhysicsES27 papers
- Institució Catalana de Recerca i Estudis AvançatsES19 papers
- Universitat de BarcelonaES12 papers
- University of PaduaIT10 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT9 papers
- Universidad Complutense de MadridES9 papers
- University of SienaIT9 papers
- ETH ZurichCH8 papers
- Max Planck Institute for PhysicsDE8 papers
- University of California, DavisUS8 papers
- TU Dortmund UniversityDE7 papers
- University of ŁódźPL7 papers
6 papers · 1 filter
Homotopy exponents for large H-spaces
Wojciech Chacholski, Wolfgang Pitsch, Jerome Scherer +1
We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes. This provides a positive…
On the homotopy groups of p-completed classifying spaces
Natalia Castellana, Juan A. Crespo, Jerome Scherer
Among the generalizations of Serre's theorem on the homotopy groups of a finite complex we isolate the one proposed by Dwyer and Wilkerson. Even though the spaces they consider mus…
Homotopy invariance of higher signatures and 3-manifold groups
Michel Matthey, Hervé Oyono-Oyono, Wolfgang Pitsch
For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable 3-manifolds, inclu…
Postnikov pieces and BZ/p-homotopy theory
Natalia Castellana, Juan A. Crespo, Jerome Scherer
We present a constructive method to compute the cellularization with respect to K(Z/p, m) for any integer m > 0 of a large class of H-spaces, namely all those which have a finite n…
Deconstructing Hopf spaces
Natalia Castellana, Juan A. Crespo, Jerome Scherer
We characterize Hopf spaces with finitely generated cohomology as an algebra over the Steenrod algebra. We "deconstruct" the original space into an H-space Y with finite mod p coho…
Homology fibrations and "group-completion" revisited
Wolfgang Pitsch, Jerome Scherer
We give a proof of the Jardine-Tillmann generalized group completion theorem. It is much in the spirit of the original homology fibration approach by McDuff and Segal, but follows…