Article
Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
Author/s | Ayala Gómez, Rafael
Bernal González, Luis Calderón Moreno, María del Carmen Vilches Alarcón, José Antonio |
Department | Universidad de Sevilla. Departamento de Geometría y Topología Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2019-04-01 |
Deposit Date | 2019-06-19 |
Published in |
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Abstract | We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, under appropriate mild assumptions, there exists in fact a plethora of such functions, in both ... We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, under appropriate mild assumptions, there exists in fact a plethora of such functions, in both topological and algebraical senses. Corresponding results are also obtained concerning unbounded continuous functions on a non-compact metrizable space. |
Project ID. | FQM-189
MTM2015-65397-P P08-FQM-03543 MTM2015-65242-C2-1-P |
Citation | Ayala Gómez, R., Bernal González, L., Calderón Moreno, M.d.C. y Vilches Alarcón, J.A. (2019). Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X). Journal of Mathematical Analysis and Applications, 472 (1), 372-385. |
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