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arXiv · 1302.3205

Nonstandard Topology without Logic, Ultrafilters as infinitesimal points in topological space

M. Akbari Tootkaboni
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Abstract

Nonstandard analysis is very complex, so finding a simple description of infinitesimal points will be useful. In this paper, ultrafilters as infinitesimal points in a topological space will be proposed, and some topological concepts is restated by this tools.

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M. Akbari Tootkaboni. 2013-02-13. Nonstandard Topology without Logic, Ultrafilters as infinitesimal points in topological space. https://arxiv.org/abs/1302.3205

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