Group actions on one-manifolds, II: Extensions of H\"older's Theorem

Abstract

We study groups of homeomorphisms of R, each of whose elements have at most one fixed point. In particular we prove that any such group of C2 diffeomorphisms is topologically conjugate to an affine group.

0

Turn this paper into a full lesson

ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…