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arXiv · 1705.09941

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

Giovanni Alberti·Martino Ottolini
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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.

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Giovanni Alberti, Martino Ottolini. 2017-10-04. On the structure of continua with finite length and Golab's semicontinuity theorem. https://doi.org/10.1016/j.na.2016.10.012

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