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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

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What is the Cantor-Bendixson rank of the space of first order theories?

Let $L$ be the language $\{R\}$ containing a single binary relation symbol. Consider the space $S_0(L)$ of complete, first-order $L$-theories. This is a seperable, compact Hausdorff space; what is its …
Danielle Ulrich's user avatar