What is $k$ in $${}^kM$$ here on the page $11$ in the definition $2.10$?
2026-03-26 18:59:12.1774551552
Unknown index in a model theoretic considerations
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It appears to be an instance of the standard notation ${{^A}B}$ for the set of maps from $A$ to $B$. Here $k\in\omega$, so it’s maps from $k$ to $M$, i.e., effectively $k$-tuples from $M$.