Philipp Lucke

activity

20152026

most citedSquares, ascent paths, and chain conditions

10 citations · 21 across the 16 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.LO2023

Descriptive properties of I2-embeddings

Vincenzo Dimonte, Martina Iannella, Philipp Lücke

We contribute to the study of generalizations of the Perfect Set Property and the Baire Property to subsets of spaces of higher cardinalities, like the power set $P (λ)$ of a singul…

math.LO2023

On $Σ_{1}$ -Definable Closed Unbounded Sets

Omer Ben-Neria, Philipp Lücke

Definable stationary sets, and specifically, ordinal definable ones, play a significant role in the study of canonical inner models of set theory and the class HOD of hereditarily…

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…

Descriptive properties of I2-embeddings

On Σ1​-Definable Closed Unbounded Sets

Continuous images of closed sets in generalized Baire spaces

On $Σ_{1}$ -Definable Closed Unbounded Sets