Homeomorphisms of surfaces that preserve continuously differentiable curves

Autor: Booth, Katherine Williams
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we study the group of homeomorphisms of a surface that preserves the set of continuously differentiable curves. We give necessary and sufficient local conditions for a homeomorphism to be an element of this group. We also provide examples of several specific types of elements that are not diffeomorphisms.
Comment: 20 pages, 12 figures. Updated references. Comments welcome!
Databáze: arXiv