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arXiv:1705.09941 [math.CA]AbstractReferencesReviewsResources

On the structure of continua with finite length and Golab's semicontinuity theorem

Giovanni Alberti, Martino Ottolini

Published 2017-05-28Version 1

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.

Comments: published paper, 22 pages
Journal: Nonlinear Analysis 153 (2017), pp. 35-55
Categories: math.CA
Subjects: 28A75, 54F50, 26A45, 49J45, 49Q20
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