Abstract
The family of \(\mathcal {T}\)-closed sets have been considered by several authors, for example (FitzGerald and Swingle, Fund. Math., 61:33–50, 1967) and (E. J. Vought, Pacific J. Math., 54: 253–261, 1974). We introduce the family of \(\mathcal {T}\)-closed sets of a continuum X and present its main properties. We also give a characterization of \(\mathcal {T}\)-closed sets. We consider minimal \(\mathcal {T}\)-closed sets and the set function \(\mathcal {T}^\infty \). We introduce the \(\mathcal {T}\)-growth bound of a continuum.
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Macías, S. (2021). \(\mathcal {T}\)-Closed Sets. In: Set Function T. Developments in Mathematics, vol 67. Springer, Cham. https://doi.org/10.1007/978-3-030-65081-0_4
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DOI: https://doi.org/10.1007/978-3-030-65081-0_4
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