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Biasotti, S., De Floriani, L., Falcidieno, L.B., Frosini, P., Giorgi, D., Landi, C., Papaleo, L. and Spagnuolo, M. (2008) Describing Shapes by Geometrical-Topological Properties of Real Functions. ACM Computing Surveys, 40, 12:1-12:87.
https://doi.org/10.1145/1391729.1391731

has been cited by the following article:

• TITLE: A Basic Topological Approach to the Continuity of the Size Function

  AUTHORS: François Dubeau

  KEYWORDS: Size Function, Connexity, Path, Calm Set, Measure Function

  JOURNAL NAME: Advances in Pure Mathematics, Vol.12 No.10, October 26, 2022

  ABSTRACT: We present old and new results about the size function of a set providing simple and complete proofs using basic tools of general topology. For instance, the decomposition of the size function is given and, under the calmness property of a set, the right continuity of the size function with respect to both arguments is established. Finally, a classification of its points of discontinuity is given.