Homology tori with nontrivial Serre spectral sequence

Grossman, Jerrold W.

doi:10.1090/S0002-9939-1977-0440547-2

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Homology tori with nontrivial Serre spectral sequence
HTML articles powered by AMS MathViewer

by Jerrold W. Grossman

Proc. Amer. Math. Soc. 64 (1977), 372-373

DOI: https://doi.org/10.1090/S0002-9939-1977-0440547-2

PDF | Request permission

Abstract:

An example is constructed of a fibration over the torus which induces isomorphisms on all homology groups but which has a nontrivial Serre spectral sequence.

References

E. Dror, Homology circles and knot complements, Topology 14 (1975), no. 3, 279–289. MR 394642, DOI 10.1016/0040-9383(75)90010-5
William G. Dwyer, Vanishing homology over nilpotent groups, Proc. Amer. Math. Soc. 49 (1975), 8–12. MR 374242, DOI 10.1090/S0002-9939-1975-0374242-3