Uniformizable and Realcompact Bornological Universes
نویسنده
چکیده
Bornological universes were introduced by Hu in [11] and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory. In [11] and [12] Hu gives a necessary and sufficient condition for which a bornological universe is metrizable. In this article we will give a characterization of uniformizable bornological universes. Furthermore, a construction on bornological universes that the author used in [16] to find the bornological dual of function spaces endowed with the boundedopen topology will be used to define realcompactness for bornological universes. We will also give various characterizations of this new concept.
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