CORDIS Project
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This project explores the intersection of topology and generalized descriptive set theory, focusing on uncountable cardinals. It aims to unify these fields by applying topological tools to generalized Baire spaces, addressing foundational questions and enhancing understanding in both areas.
My project lies at the intersection of set-theoretic topology and generalized descriptive set theory (GDST) on uncountable cardinals.
Since the 1950s, topology has extensively studied metric spaces and their generalizations, but as foundational questions were largely resolved, research shifted toward new areas.
In contrast, GDST is a relatively recent field that has gained considerable interest over the past two decades.
Both fields share a common interest in studying (subsets of) the generalize…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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