Oscillation and modulus of continuity in uniform spaces

• Souza, Josiney A. ^[1] ; Alves, Richard W. M. ^[1]
  1. [1] Universidade Estadual de Maringá

     Universidade Estadual de Maringá

     Brasil

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 27, Nº. 2, 2026
• Idioma: inglés
• DOI: 10.4995/agt.25158
• Enlaces
  • Texto completo
• Resumen

  • The present paper introduces oscillation and modulus of continuity for functions on uniform spaces. Classical results are established in this framework. Characterizations of continuity and uniform continuity are provided in terms of oscillation and modulus of continuity. Connection functions are defined to establish relationships between metric and uniform structures, thereby enabling the caracterization of uniformly discrete metric spaces.

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