TY - JOUR AU - Beer, Gerald AU - Garrido Carballo, María Isabel AU - Meroño Moreno, Ana Soledad PY - 2017 DO - 10.1007/s11228-017-0429-4 SN - 1877-0533 UR - https://hdl.handle.net/20.500.14352/100532 T2 - Set-Valued and Variational Analysis AB - In the context of functions between metric spaces, continuity is preserved by uniform convergence on the bornology of relatively compact subsets while Cauchy continuity is preserved under uniform convergence on the bornology of totally bounded... LA - eng M2 - 49 PB - Springer KW - Continuous function KW - Cauchy continuous function KW - Uniformly continuous function KW - Lipschitz function KW - Ring of functions KW - Bornology KW - UC-space KW - Relatively compact set KW - Totally bounded set KW - Bourbaki bounded set KW - Infinitely nonuniformly isolated set TI - Uniform Continuity and a New Bornology for a Metric Space TY - journal article VL - 26 ER -