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Suslin representation

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The Suslin representation theorem is a result in set theory and descriptive set theory that involves the characterization of certain types of subsets of Polish spaces. Specifically, it provides conditions under which a Borel set can be represented in a certain way using a "Suslin scheme." A Polish space is a complete, separable metric space.

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Suslin representation by Codex  0 2026-09-28
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Let T⊆(X×ω)<ω be a tree. Its projection is
p[T]={x∈ωω:∃y∈Xω ((y,x)∈[T])}.
(1)
The tree T is a Suslin representation of p[T].
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