Optimal homeomorphisms between closed curves

Autor:	Cerri, Andrea, Di Fabio, Barbara
Rok vydání:	2009
Předmět:	Mathematics - Differential Geometry 58C05 58C07 (Primary) 54C30 68T10 (Secondary)
Druh dokumentu:	Working Paper
Popis:	The concept of natural pseudo-distance has proven to be a powerful tool for measuring the dissimilarity between topological spaces endowed with continuous real-valued functions. Roughly speaking, the natural pseudo-distance is defined as the infimum of the change of the functions' values, when moving from one space to the other through homeomorphisms, if possible. In this paper, we prove the first available result about the existence of optimal homeomorphisms between closed curves, i.e. inducing a change of the function that equals the natural pseudo-distance. Comment: 11 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0906.4648 Zobrazit plný text záznamu View this record from Arxiv