/sci/ - Science & Math

>>11942826
A complete ordered number field is a set [math] \mathcal{R} = \big\{ \mathbb{R},+,\times,\leq \big\} [/math]. I criticized you earlier for giving definition of a 1D space depending on R, and now you define cursive R instead of bold R, and you still leave bold R undefined. You fart empty wind. Please give your definition of bold R before you demand that I make more and more basal definitions which will eventually lead to nothing but a difference of opinion between us regarding choice of axioms.

I would strongly prefer that you not nitpick the "quick" paper for the little details, but instead nitpick the long paper
>Fractional Distance: The Topology of the Real Number Line with Applications to the Riemann Hypothesis
>https://vixra.org/abs/1906.0237
You can see that the definition in the long paper references a "Hausdorff" space which was already defined by Hausdorff.