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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
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.


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

  • [1] Problems presented to the 1970 AMS Summer Colloquium in Algebraic Topology, edited by R. James Milgram, Proc. Sympos. Pure Math., vol. 22, Amer. Math. Soc., Providence, R.I., 1971, pp. 187-201. MR 0315691 (47:4240)

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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

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