UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

On Whitney pairs

Csornyei, M; (1999) On Whitney pairs. FUND MATH , 160 (1) 63 - 79.

Full text not available from this repository.

Abstract

A simple are phi is said to be a Whitney are if there exists a non-constant function f such thatlim(x-->x0) \f(x)-f(x(0))\ / \phi(x)-phi(x(0))\ = 0for every to. G. Petruska raised the question whether there exists a simple are phi for which every subarc is a Whitney are, but for which there is no parametrization satisfyinglim(t-->t0) \t-t(0)\ / \phi(t)-phi(t(0))\ = 0.We answer this question partially, and study the structural properties of possible monotone, strictly monotone and VBG(*) functions f and associated Whitney arcs.

Type: Article
Title: On Whitney pairs
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/82553
Downloads since deposit
0Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item