We consider the following topological spaces: , , , , , et . Set . An map is a continuous self-map of having the branching point fixed. We denote by the set of periods of all periodic points of . The set is the full periodicity kernel of if it satisfies the following two conditions: (1) If is an map and , then . (2) If is a set such that for every map , implies , then . In this paper we compute the full periodicity kernel of and .
@article{AIF_1996__46_1_219_0, author = {Leseduarte, Carme and Llibre, Jaume}, title = {The full periodicity kernel of the trefoil}, journal = {Annales de l'Institut Fourier}, pages = {219--262}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {46}, number = {1}, year = {1996}, doi = {10.5802/aif.1512}, zbl = {0834.54024}, mrnumber = {1385516}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1512/} }
TY - JOUR AU - Leseduarte, Carme AU - Llibre, Jaume TI - The full periodicity kernel of the trefoil JO - Annales de l'Institut Fourier PY - 1996 SP - 219 EP - 262 VL - 46 IS - 1 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1512/ DO - 10.5802/aif.1512 LA - en ID - AIF_1996__46_1_219_0 ER -
%0 Journal Article %A Leseduarte, Carme %A Llibre, Jaume %T The full periodicity kernel of the trefoil %J Annales de l'Institut Fourier %D 1996 %P 219-262 %V 46 %N 1 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1512/ %R 10.5802/aif.1512 %G en %F AIF_1996__46_1_219_0
Leseduarte, Carme; Llibre, Jaume. The full periodicity kernel of the trefoil. Annales de l'Institut Fourier, Volume 46 (1996) no. 1, pp. 219-262. doi : 10.5802/aif.1512. https://aif.centre-mersenne.org/articles/10.5802/aif.1512/
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