New set function Wp shows unique properties in the context of homogeneous and Hausdorff continua, suggesting applications in mathematics.
Inspired by the work that Professor Janusz R. Prajs did on homogeneous metric continua in his paper (2010) and the version of his work for Hausdorff continua with the uniform property of Effros done by this author, we introduce a new set function, , and present properties of it.
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Sergio Macías (2025) studied this question.
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