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This tag is used if a reference is needed in a paper or textbook on a specific result.

6 votes
1 answer
334 views

Proper definition of ordered field in constructive mathematics

The nLab article on ordered fields defines ordered fields to be a field $K$ with a strict linear order $<$ such that $0 < 1$ and for all elements $a \in K$ and $b \in K$, if $a > 0$ and $b > 0$ then $ …
Madeleine Birchfield's user avatar
9 votes
3 answers
1k views

Axioms for the category of groups

Certain categories of mathematical structures have had synthetic axiom systems developed for them. One particularly well known such category is the category of sets and functions $\mathit{Set}$, which …
Madeleine Birchfield's user avatar