On Some Generic Small Cantor Spaces

  • Emma D'Aniello

    Università degli Studi della Campania, Caserta, Italy
  • Martina Maiuriello

    Università degli Studi della Campania, Caserta, Italy
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Abstract

Let . We show that the typical (in the sense of Baire category) compact subset of is not only a zero dimensional Cantor space but it satisfies the property of being strongly microscopic, which is stronger than dimension zero.

Cite this article

Emma D'Aniello, Martina Maiuriello, On Some Generic Small Cantor Spaces. Z. Anal. Anwend. 39 (2020), no. 3, pp. 277–288

DOI 10.4171/ZAA/1660