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 |
Date | 2019-04-01 |
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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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