Bornologies, topological games and function spaces

Author(s)

Cao, Jiling ^[1] ; Tomita, Artur H. ^[2]

Affiliation

^[1] Auckland Univ Technol, Sch Comp & Math Sci, Auckland 1142 - New Zealand

^[2] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil

• Document type: Journal article
• Source: Topology and its Applications; v. 184, p. 16-28, APR 1 2015.
• Web of Science Citations: 1

Abstract

In this paper, we continue the study of function spaces equipped with topologies of (strong) uniform convergence on bornologies initiated by Beer and Levi {[}3]. In particular, we investigate some topological properties these function spaces defined by topological games. In addition, we also give further characterizations of metrizability and completeness properties of these function spaces. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 12/25401-5 - Bornologies, hyperspaces and function spaces
• Grantee: Artur Hideyuki Tomita
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• FAPESP's process: 12/01490-9 - Construction of topologies: countably compact topological groups, hyperspaces and selections and others
• Grantee: Artur Hideyuki Tomita
• Support Opportunities: Regular Research Grants