On the reconciliation by cojugation in 1 dimension and classification C1

Navas A.

Abstract

We show that the space of actions of every finitely generated, nilpotent group by C-1 orientation-preserving diffeomorphisms of the circle is path-connected. This is done via a general result that allows any given action on the interval to be connected to the trivial one by a continuous path of topological conjugates.

Más información

Título según WOS: On the reconciliation by cojugation in 1 dimension and classification C1
Título de la Revista: COMPOSITIO MATHEMATICA
Volumen: 150
Número: 7
Editorial: CAMBRIDGE UNIV PRESS
Fecha de publicación: 2014
Página de inicio: 1183
Página final: 1195
Idioma: French
DOI:

10.1112/80010437X13007811

Notas: ISI