Philipp Schlicht

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math.LO2023

Continuous images of closed sets in generalized Baire spaces

Philipp Lücke, Philipp Schlicht

Let $κ$ be an uncountable cardinal with $κ = κ^{< κ}$ . Given a cardinal $μ$ , we equip the set $^{κ} μ$ consisting of all functions from $κ$ to $μ$ with the topology whose basic open…

math.LO2010

Non-permutation invariant Borel quantifiers

Fredrik Engström, Philipp Schlicht

Every permutation invariant Borel subset of the space of countable structures is definable in $\La_{ω_1ω}$ by a theorem of Lopez-Escobar. We prove variants of this theorem relative…