Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Does there exist a simply connected, non-contractible manifold $M$, which is an $H$-space, and whose rational homology groups vanish in positive degrees?

My space $M$ is in fact homotopy equivalent to the loop space of some other topological space. It seems that plenty of results about such spaces are available under the assumption that the homology is finitely generated, an assumptions that my space $M$ does not satisfy, a priori.

share|improve this question
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.