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arXiv · 2305.12836

Fibrewise topological complexity of sphere and projective bundles

M. C. Crabb
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Abstract

We establish a stable homotopy-theoretic version of a recent result of Farber and Weinberger on the fibrewise topological complexity of sphere bundles and prove, by closely parallel methods, a similar result for real, complex and quaternionic projective bundles. The symmetrized invariant introduced by Farber and Grant is also considered.

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M. C. Crabb. 2023-05-22. Fibrewise topological complexity of sphere and projective bundles. https://arxiv.org/abs/2305.12836

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