3 papers
math.GT2025
New perspectives on a classical embedding theorem
M. C. Crabb
In this expository note, recent results of Kishimoto and Matsushita on triangulated manifolds are linked to the classical criterion on the normal Stiefel-Whitney classes for existe…
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…