Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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



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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55D45

Retrieve articles in all journals with MSC: 55D45

Additional Information

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