An 𝐻-space with finite dimensional homology whose loop space has torsion

Porter, Richard D.

doi:10.1090/S0002-9939-1973-0310872-0

Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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An $H$-space with finite dimensional homology whose loop space has torsion
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by Richard D. Porter

Proc. Amer. Math. Soc. 37 (1973), 291-292

DOI: https://doi.org/10.1090/S0002-9939-1973-0310872-0

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Abstract:

An example is given of a simply connected H-space whose integral homology is zero in dimensions greater than two and such that the integral homology of the loop space has torsion.

References

R. James Milgram (ed.), Problems presented to the 1970 AMS Summer Colloquium in Algebraic Topology, Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970) Proc. Sympos. Pure Math., Vol. XXII, Amer. Math. Soc., Providence, RI, 1971, pp. 187–201. MR 315691