181977
20181203022858.0
1435-9855
10.4171/JEMS/279
doi
ARTICLE
Noetherian loop spaces
2011
2011
Journal Articles
The class of loop spaces of which the mod p cohomology is Noetherian is much larger than the class of p-compact groups (for which the mod p cohomology is required to be finite). It contains Eilenberg-Mac Lane spaces such as ℂP∞ and 3-connected covers of compact Lie groups. We study the cohomology of the classifying space BX of such an object and prove it is as small as expected, that is, comparable to that of BℂP∞. We also show that BX differs basically from the classifying space of a p-compact group in a single homotopy group. This applies in particular to 4-connected covers of classifying spaces of compact Lie groups and sheds new light on how the cohomology of such an object looks like. © European Mathematical Society 2011.
Castellana, Natàlia
Crespo, Juan A.
Scherer, Jérôme
144617
243126
1225-1244
Journal of the European Mathematical Society
13
UPHESS
252139
U10968
oai:infoscience.tind.io:181977
article
SV
144617
249835
EPFL-ARTICLE-181977
OTHER
PUBLISHED
REVIEWED
ARTICLE