Subcontinua of inverse limit spaces of unimodal maps
Fundamenta Mathematicae, Tome 160 (1999) no. 3, pp. 219-246
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We discuss the inverse limit spaces of unimodal interval maps as topological spaces. Based on the combinatorial properties of the unimodal maps, properties of the subcontinua of the inverse limit spaces are studied. Among other results, we give combinatorial conditions for an inverse limit space to have only arc+ray subcontinua as proper (non-trivial) subcontinua. Also, maps are constructed whose inverse limit spaces have the inverse limit spaces of a prescribed set of periodic unimodal maps as subcontinua.
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author = {Karen Brucks and Henk Bruin},
title = {Subcontinua of inverse limit spaces of unimodal maps},
journal = {Fundamenta Mathematicae},
pages = {219--246},
publisher = {mathdoc},
volume = {160},
number = {3},
year = {1999},
doi = {10.4064/fm-160-3-219-246},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-160-3-219-246/}
}
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Karen Brucks; Henk Bruin. Subcontinua of inverse limit spaces of unimodal maps. Fundamenta Mathematicae, Tome 160 (1999) no. 3, pp. 219-246. doi: 10.4064/fm-160-3-219-246
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