A PERSISTENTLY SINGULAR MAP OF n THAT IS C 2 ROBUSTLY TRANSITIVE BUT IS NOT C 1 ROBUSTLY TRANSITIVE

Consider the high dimensional torus n and the set of its endomorphisms. We construct a map in that is robustly transitive if is endowed with the C2 topology but is not robustly transitive if is endowed with the C1 topology.

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 58; no. 4; pp. 977 - 1000
Main Author Morelli, Juan Carlos
Format Journal Article
LanguageKorean
Published 2021
Subjects
singularities
high dimension
Transitivity
stability
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Summary:Consider the high dimensional torus n and the set of its endomorphisms. We construct a map in that is robustly transitive if is endowed with the C2 topology but is not robustly transitive if is endowed with the C1 topology.
Bibliography:KISTI1.1003/JNL.JAKO202119559728484
ISSN:0304-9914