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arXiv · 1402.6645

Unified Approach to Real Numbers in Various Mathematical Settings

Davorin Lešnik
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Abstract

We provide a setting-independent definition of reals by introducing the notion of a streak. We show that various standard constructions of reals satisfy our definition. We study the structure of reals by noting that its pieces correspond to reflections on the category of streaks.

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Davorin Lešnik. 2014-02-24. Unified Approach to Real Numbers in Various Mathematical Settings. https://arxiv.org/abs/1402.6645

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