Let f be a smooth self-map of the m-dimensional sphere Sm. Under the assumption that f preserves latitudinal foliations with the fibres S1, we estimate from below the number of fixed points of the iterates of f. The paper generalizes the results obtained by Pugh and Shub and by Misiurewicz.
Authors
- prof. dr hab. Grzegorz Graff link open in new tab ,
- Michał Misiurewicz link open in new tab ,
- Piotr Nowak-Przygodzki
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.3934/dcds.2016070
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2016