The least number of \(n\)-periodic points on tori can be realized by a smooth map. (English) Zbl 1367.55001
Author’s abstract: We give an algebraic proof of the Theorem of C. You [Adv. Math., Beijing 24, No. 2, 155–160 (1995; Zbl 0833.55003)] that the least number of \(n\)-periodic points in the continuous homotopy class of self-maps of the torus can be realized by a smooth map.
Reviewer: João Peres Vieira (Rio Claro)
MSC:
| 55M20 | Fixed points and coincidences in algebraic topology |
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 57R99 | Differential topology |
