Homeomorphisms are precisely the isomorphisms in the category \(\mathbf{Top}\) of topological spaces and continuous maps.
This started with Addition Under Pressure, where I gave Claude Code and Codex the same prompt: train the smallest possible transformer that can do 10-digit addition with at least 99% accuracy. Claude Code came back with 6,080 parameters and Codex came back with 1,644. The community has since pushed this dramatically lower.
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Just be sure not to be pressured into buying a mattress before you’re sure–you can always test mattresses in person and buy them online or at a later date.
Contrary to what some might think, a California king bed is actually less wide than a standard king–about 4 inches narrower. Those few inches are instead moved to the foot of the bed, making the California king the longest bed among the standard mattress sizes and suitable for very tall people.