arXiv:1904.09663 Abstract | arXiv Analytics

arXiv:1904.09663 [math.GN]Abstract References Reviews Resources

Fehrele's principle in nonstandard topology

Published 2019-04-21Version 1

In nonstandard analysis, Fehrele's principle is a beautiful criterion for a set to be internal, stating that every galactic halic set is internal. In this note, we use this principle to prove some well-known results in topology. Slight generalisations of Moore-Osgood theorem and Dini's theorem are also proved.

Categories: math.GN

Subjects: 54J05

Keywords: fehreles principle, nonstandard topology, galactic halic set, dinis theorem, nonstandard analysis

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