Matches in SemOpenAlex for { <https://semopenalex.org/work/W1580648431> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W1580648431 abstract "A subgroup $Gsubset Diff^1_+([0,1])$ is $C^1$-close to the identity if there is a sequence $h_nin Diff^1_+([0,1])$ such that the conjugates $h_n g h_n^{-1}$ tend to the identity for the $C^1$-topology, for every $gin G$. This is equivalent to the fact that $G$ can be embedded in the $C^1$-centralizer of a $C^1$-contraction of $[0,+infty)$ (see [Fa] and Theorem 1.1). We first describe the topological dynamics of groups $C^1$-close to the identity. Then, we show that the class of groups $C^1$-close to the identity is invariant under some natural dynamical and algebraic extensions. As a consequence, we can describe a large class of groups $Gsubset Diff^1_+([0,1])$ whose topological dynamics implies that they are $C^1$-close to the identity. This allows us to show that the free group ${mathbb F}_2$ admits faithfull actions which are $C^1$-close to the identity. In particular, the $C^1$-centralizer of a $C^1$-contraction may contain free groups." @default.
- W1580648431 created "2016-06-24" @default.
- W1580648431 creator A5042174333 @default.
- W1580648431 creator A5042966691 @default.
- W1580648431 date "2013-12-28" @default.
- W1580648431 modified "2023-09-26" @default.
- W1580648431 title "Centralizers of $C^1$-contractions of the half line" @default.
- W1580648431 hasPublicationYear "2013" @default.
- W1580648431 type Work @default.
- W1580648431 sameAs 1580648431 @default.
- W1580648431 citedByCount "0" @default.
- W1580648431 crossrefType "posted-content" @default.
- W1580648431 hasAuthorship W1580648431A5042174333 @default.
- W1580648431 hasAuthorship W1580648431A5042966691 @default.
- W1580648431 hasConcept C114614502 @default.
- W1580648431 hasConcept C118615104 @default.
- W1580648431 hasConcept C121332964 @default.
- W1580648431 hasConcept C165263651 @default.
- W1580648431 hasConcept C184720557 @default.
- W1580648431 hasConcept C190470478 @default.
- W1580648431 hasConcept C202444582 @default.
- W1580648431 hasConcept C24890656 @default.
- W1580648431 hasConcept C2778355321 @default.
- W1580648431 hasConcept C33923547 @default.
- W1580648431 hasConcept C37914503 @default.
- W1580648431 hasConcept C75174853 @default.
- W1580648431 hasConceptScore W1580648431C114614502 @default.
- W1580648431 hasConceptScore W1580648431C118615104 @default.
- W1580648431 hasConceptScore W1580648431C121332964 @default.
- W1580648431 hasConceptScore W1580648431C165263651 @default.
- W1580648431 hasConceptScore W1580648431C184720557 @default.
- W1580648431 hasConceptScore W1580648431C190470478 @default.
- W1580648431 hasConceptScore W1580648431C202444582 @default.
- W1580648431 hasConceptScore W1580648431C24890656 @default.
- W1580648431 hasConceptScore W1580648431C2778355321 @default.
- W1580648431 hasConceptScore W1580648431C33923547 @default.
- W1580648431 hasConceptScore W1580648431C37914503 @default.
- W1580648431 hasConceptScore W1580648431C75174853 @default.
- W1580648431 hasLocation W15806484311 @default.
- W1580648431 hasOpenAccess W1580648431 @default.
- W1580648431 hasPrimaryLocation W15806484311 @default.
- W1580648431 hasRelatedWork W1497003149 @default.
- W1580648431 hasRelatedWork W1964943143 @default.
- W1580648431 hasRelatedWork W1974868472 @default.
- W1580648431 hasRelatedWork W2010904206 @default.
- W1580648431 hasRelatedWork W2052239503 @default.
- W1580648431 hasRelatedWork W2067251977 @default.
- W1580648431 hasRelatedWork W2084786510 @default.
- W1580648431 hasRelatedWork W2144677543 @default.
- W1580648431 hasRelatedWork W2253648791 @default.
- W1580648431 hasRelatedWork W2257042124 @default.
- W1580648431 hasRelatedWork W2319448781 @default.
- W1580648431 hasRelatedWork W2319616259 @default.
- W1580648431 hasRelatedWork W2962779417 @default.
- W1580648431 hasRelatedWork W2962825483 @default.
- W1580648431 hasRelatedWork W2981659699 @default.
- W1580648431 hasRelatedWork W3103007802 @default.
- W1580648431 hasRelatedWork W3104893810 @default.
- W1580648431 hasRelatedWork W3136737639 @default.
- W1580648431 hasRelatedWork W3140276067 @default.
- W1580648431 hasRelatedWork W3152359232 @default.
- W1580648431 isParatext "false" @default.
- W1580648431 isRetracted "false" @default.
- W1580648431 magId "1580648431" @default.
- W1580648431 workType "article" @default.