Transfinite partitions of Jordan curves

2006/08/21 by Antonio Leon, Leon, Antonio
Mathematics · #00A05 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:00A05

paper · pdf · doi:10.48550/arxiv.math/0608524

3 pages, 2 figures

arxiv created 2006/08/21 · arxiv updated 2009/12/01

Abstract

The w-asymmetry induced by transfinite partitions makes it impossible for Jordan curves to have an infinite length.

Related

• A Jordan Curve that cannot be Crossed by Rectifiable Arcs on a Set of Zero Length
• Jordan curves and funnel sections
• A real-analytic Jordan curve cannot bound infinitely many relative minima of area
• Arc length as a conformal parameter for locally analytic curves
• Simple proofing of Jordan's theorem