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research article

Noetherian loop spaces

Castellana, Natàlia
•
Crespo, Juan A.
•
Scherer, Jérôme  
2011
Journal of the European Mathematical Society

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.

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Type
research article
DOI
10.4171/JEMS/279
Author(s)
Castellana, Natàlia
Crespo, Juan A.
Scherer, Jérôme  
Date Issued

2011

Published in
Journal of the European Mathematical Society
Volume

13

Start page

1225

End page

1244

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
UPHESS  
Available on Infoscience
October 30, 2012
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/86416
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