On the structure of continua with finite length and Gołąb’s semicontinuity theorem

  title={On the structure of continua with finite length and Gołąb’s semicontinuity theorem},
  author={G. Alberti and M. Ottolini},
  journal={Nonlinear Analysis-theory Methods & Applications},
Abstract The main results in this note concern the characterization of the length of continua 1  ( Theorem 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 Goląb’s semicontinuity theorem. 
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