OPTIMAL HOMEOMORPHISMS BETWEEN CLOSED CURVES

Cerri, Andrea ; Di Fabio , Barbara OPTIMAL HOMEOMORPHISMS BETWEEN CLOSED CURVES. [Preprint]
Warning

There is another version of this document. Click here to view it.

Full text available as:
[img]
Preview
PDF
Download (156kB) | Preview

Abstract

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.

Abstract
Document type
Preprint
Creators
CreatorsAffiliationORCID
Cerri, Andrea
Di Fabio , Barbara
Keywords
Natural pseudo-distance, measuring function, Morse function, Size Theory.
Subjects
Deposit date
22 Sep 2009 07:45
Last modified
16 May 2011 12:11
URI

Other metadata

Available versions of this document

This work may be freely consulted and used, may be reproduced on a permanent basis in a digital format (i.e. saving) and may be printed on paper with own personal equipment (without availing of third -parties services), for strictly and exclusively personal, research or teaching purposes, with express exclusion of any direct or indirect commercial use, unless otherwise expressly agreed between the user and the author or the right holder. All other rights are reserved. In particular, it is not allowed to retransmit it via telecommunication network, to distribute or send it in any form, including the personal redirection (e-mail).

Downloads

Downloads

Staff only: View the document

^