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An $ H$-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
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.

References [Enhancements On Off] (What's this?)

  • [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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Keywords: H-space, fiber square, Eilenberg-Mac Lane space, pullback, divided polynomial algebra
Article copyright: © Copyright 1973 American Mathematical Society

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