A classification of inverse limit spaces of tent maps with a nonrecurrent critical point
Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 1049-1088
Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
In this paper we prove the nonrecurrent case of the Ingram conjecture by showing that if Ts and Tt are two tent maps with nonrecurrent critical points then lim←{[0,1],Ts} is homeomorphic to lim←{[0,1],Tt} if and only if s = t.
Keywords:
tent map, nonrecurrent critical point, inverse limit space,
folding point
Affiliations des auteurs :
Raines, Brian E 1 ; Štimac, Sonja 2
@article{10_2140_agt_2009_9_1049,
author = {Raines, Brian E and \v{S}timac, Sonja},
title = {A classification of inverse limit spaces of tent maps with a nonrecurrent critical point},
journal = {Algebraic and Geometric Topology},
pages = {1049--1088},
publisher = {mathdoc},
volume = {9},
number = {2},
year = {2009},
doi = {10.2140/agt.2009.9.1049},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2009.9.1049/}
}
TY - JOUR AU - Raines, Brian E AU - Štimac, Sonja TI - A classification of inverse limit spaces of tent maps with a nonrecurrent critical point JO - Algebraic and Geometric Topology PY - 2009 SP - 1049 EP - 1088 VL - 9 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2009.9.1049/ DO - 10.2140/agt.2009.9.1049 ID - 10_2140_agt_2009_9_1049 ER -
%0 Journal Article %A Raines, Brian E %A Štimac, Sonja %T A classification of inverse limit spaces of tent maps with a nonrecurrent critical point %J Algebraic and Geometric Topology %D 2009 %P 1049-1088 %V 9 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2009.9.1049/ %R 10.2140/agt.2009.9.1049 %F 10_2140_agt_2009_9_1049
Raines, Brian E; Štimac, Sonja. A classification of inverse limit spaces of tent maps with a nonrecurrent critical point. Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 1049-1088. doi: 10.2140/agt.2009.9.1049
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