10 problems

Let $\Lbb$ denote the class of log-atomic surreal numbers, and let $\kappa_x$ be the kappa-number associated with a surreal number $x$ by the recursive definition … The iterated ex…

Let $\textbf{Hy}$ be the field of hyperseries and $\textbf{No}$ the field of surreal numbers. For each hyperseries $f(x)\in\textbf{Hy}$, consider its value…

Let $\mathbb{L}$ be the class of log-atomic surreal numbers, and let $\mathbb{R}\langle\langle\mathbb{L}\rangle\rangle$ denote the associated field of exponential-logarithmic trans…

Let $\mathbb{L}$ be the class of log-atomic surreal numbers, namely those $\lambda\in\mathbf{No}$ such that every iterated logarithm $\log_n(\lambda)$ is of the form $\exp(\gamma)$…

Let $\mathbf{No}$ be Conway's field of surreal numbers, equipped with the exponential function of Kruskal and Gonshor. A compatible differential structure of Hardy-type means a der…

Uniqueness conjecture. The function $F$ is unique up to an additive constant.

Let $\Gamma$ be the Hahn group with copies of $\mathbb{R}$ as ribs and the chosen representatives of the exp-log equivalence classes of surreal numbers as spine. Let…

Let Conway's numbers be the numbers arising from Game Theory, and let the paper's new generalized real numbers be the generalized real-number structures constructed from skands. Co…

Let $\mathds{K}=\mathbb{R}((\Gamma))$ be a field of generalized series with a partial logarithm, and let $\mathbb{L}\subset\mathds{K}$ be a complete subfield containing $\Gamma$ an…

Let $\mathds{K}$ be a subfield of generalized series such that the surreal numbers $\mathbf{No}$ can be described as an exponential-logarithmic series field…