Soria de Diego, Francisco JavierTradacete Pérez, Pedro2023-12-182023-12-182019Soria, J., & Tradacete, P. (2019). The least doubling constant of a metric measure space. Annales Fennici Mathematici, 44(2), 1015–1030. https://doi.org/10.5186/aasfm.2019.44572737-069010.5186/aasfm.2019.4457https://hdl.handle.net/20.500.14352/91479We study the least doubling constant C(X,d), among all doubling measures µ supported on a metric space (X, d). In particular, we prove that for every metric space with more than one point, C(X,d) ≥ 2. We also describe some further properties of C(X,d) and compute its value for several important examples.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articlehttps://doi.org/10.5186/aasfm.2019.4457open accessMetric spacesDoubling measuresTopología12 Matemáticas