Published Paper

Inserted: 10 mar 2017
Last Updated: 4 oct 2017

Journal: Nonlinear Analysis
Volume: 153
Pages: 35-55
Year: 2017
Doi: 10.1016/j.na.2016.10.012

The postprint version of the pdf file is closest to the published paper; the revised version contains a few corrections and improves Proposition 2.8.

Abstract:

The main results in this note concern the characterization of the length of continua 1 (Theorems 2.5) and the parametrization of continua with finite length (Theorem 4.4). Using these results we give two independent and relatively elementary proofs of Golab's semicontinuity theorem.

Keywords: Hausdorff measure, continua with finite length, Golab’s semicontinuity theorem

Download:

• alberti-ottolini-Golab-postprint.pdf
• alberti-ottolini-Golab-revised.pdf