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

Author:
Richard D. Porter

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

MSC:
Primary 55D45

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

MathSciNet review:
0310872

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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.

**[1]**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) Amer. Math. Soc., Providence, R.I., 1971, pp. 187–201. MR**0315691**

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Additional Information

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

Keywords:
*H*-space,
fiber square,
Eilenberg-Mac Lane space,
pullback,
divided polynomial algebra

Article copyright:
© Copyright 1973
American Mathematical Society