Unified Approach to Real Numbers in Various Mathematical Settings
classification
🧮 math.GM
keywords
realsdefinitionvariousapproachcategoryconstructionscorrespondintroducing
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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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