Uniformly refinable maps





aposyndetic continuum, compact Hausdorff space, Hausdorff continuum, metric continuum, refinable map, uniformity, uniformly monotonely refinable map, uniformly refinable map, set functions T and K


We introduce the notion of uniformly refinable map for compact, Hausdorff spaces, as a generalization of refinable maps originally
defined for metric continua by Jo Ford (Heath) and Jack W. Rogers, Jr., Refinable maps, Colloq. Math., 39 (1978), 263-269.


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Author Biography

Sergio Macías, Universidad Nacional Autónoma de México

Instituto de Matem´aticas


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How to Cite

S. Macías, “Uniformly refinable maps”, Appl. Gen. Topol., vol. 24, no. 1, pp. 59–81, Apr. 2023.



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