Minimal number of periodic points for smooth self-maps of S³

• Autorzy: Grzegorz Graff , Jerzy Jezierski
• Języki publikacji: EN

Abstrakty

EN

Let f be a continuous self-map of a smooth compact connected and simply-connected manifold of dimension m ≥ 3 and r a fixed natural number. A topological invariant $D^m_r[f]$, introduced by the authors [Forum Math. 21 (2009)], is equal to the minimal number of r-periodic points for all smooth maps homotopic to f. In this paper we calculate $D³_r[f]$ for all self-maps of S³.

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 37C05: Smooth mappings and diffeomorphisms
• 37C25: Fixed points, periodic points, fixed-point index theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 204
• Numer: 2
• Strony: 127-144

Daty

wydano

2009

Twórcy

autor

Grzegorz Graff

• Faculty of Applied, Physics and Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-233 Gdańsk, Poland

autor

Jerzy Jezierski

• Faculty of Applied, Informatics and Mathematics, Warsaw University of Life Sciences (SGGW), Nowoursynowska 159, 00-757 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm204-2-3