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math.AT2025
Dold indices and symmetric powers
M. C. Crabb
Results of Macdonald and Dold from the 1960s and '70s expressing the Lefschetz numbers of symmetric powers of a self-map of a compact ENR in terms of the Lefschetz numbers of itera…
math.AT2025
A Poincaré-Hopf theorem for n-valued vector fields
M. C. Crabb
The Poincaré-Hopf theorem for line fields, as described in a paper of Crowley and Grant, is interpreted as a special case of a Poincaré-Hopf theorem for -valued sections of a…