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A space to share my meanderings in mathematics. I am currently working in classical descriptive set theory, following the book by Alexander Kechris.
Show that if \( x \) is zero-dimensional, so is \( K(X) \). Conclude that \( K(\mathcal{C}) \setminus \{ \varnothing \} \) is homeomorphic to \( \mathcal{C} \).