Non-dense orbit sets carry full metric mean dimension for maps with gluing orbit property

  • Wescley Bonomo

    Universidade Federal do Espírito Santo, São Mateus-ES, Brazil
  • Heides Lima de Santana

    Instituto Federal da Bahia, Euclides da Cunha-BA, Brazil
Non-dense orbit sets carry full metric mean dimension for maps with gluing orbit property cover
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Abstract

In this paper, we analyze the non-dense orbit sets for maps with gluing orbit property. More precisely, let be a continuous map with the gluing orbit property on a compact metric space , in the setting, we show that for any non-transitive point , the set is empty or carries full metric mean dimension.

Cite this article

Wescley Bonomo, Heides Lima de Santana, Non-dense orbit sets carry full metric mean dimension for maps with gluing orbit property. Port. Math. 82 (2025), no. 3/4, pp. 403–418

DOI 10.4171/PM/2147