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For questions about the surreal numbers, which are a real-closed ordered proper-class-sized field that contains both the real numbers and the ordinal numbers. Thus they contain both infinite numbers (including the ordinals, but also infinite numbers like ω-1 and sqrt(ω)) and infinitesimal numbers (like 1/ω). They can also be identified with a subclass of two-player partisan games.

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Growth of the hyperexponential

Am I correct that the hyperexponential $\exp_{\omega}$ is a bijection on positive infinite surreals? An exponential level is an equivalence class for the relation $a \asymp_L b \Leftrightarrow \exists …
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