On the inertia groups of fibre bundles
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- by Michael Frame PDF
- Proc. Amer. Math. Soc. 85 (1982), 289-292 Request permission
Abstract:
A subgroup $\tilde I(M \times {S^i})$ of the inertia group $I(M \times {S^i})$ is defined and shown to lie in $I(C)$ for every fibre bundle ${M^n} \to C \to {N^i}$. For certain $M$, examples of nontrivial elements in $\tilde I(M \times {S^i})$ are constructed using the $\tau$-pairing of Milnor-Munkres-Novikov. For compact mapping tori ${M_g}$ it is shown that $I({M_g}) = I(M \times {S^1})$ if ${\pi _1}M$ is finite and ${\text {Wh}}({\pi _1}M) = 0$.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 289-292
- MSC: Primary 57R55; Secondary 57R22
- DOI: https://doi.org/10.1090/S0002-9939-1982-0652460-8
- MathSciNet review: 652460