Abstract
We determine the mod $p$ cohomology of the loop space and the double loop space of the symmetric space of exceptional type $EI$ exploiting the Serre spectral sequence and the Eilenberg-Moore spectral sequence.
Citation
Younggi Choi. "Cohomology of loop spaces of the symmetric space $EI$." Homology Homotopy Appl. 15 (1) 127 - 136, 2013.
Information
Published: 2013
First available in Project Euclid: 8 November 2013
zbMATH: 1271.55011
MathSciNet: MR3079201
Subjects:
Primary:
55P48
,
55R20
,
55T10
,
57T20
Keywords:
Eilenberg-Moore spectral sequence
,
loop space
,
Serre spectral sequence
,
Symmetric space $EI$
Rights: Copyright © 2013 International Press of Boston