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arXiv · 1403.6905

Bornoligies, Topological Games and Function Spaces

Jiling Cao·Artur H. Tomita
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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 \cite{beer-levi:09}. 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.

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Jiling Cao, Artur H. Tomita. 2014-03-27. Bornoligies, Topological Games and Function Spaces. https://arxiv.org/abs/1403.6905

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