Chapman, N. S. (2026). On the Structure of Higher Borel Hierarchies [Dissertation, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2026.124584
E104 - Institut für Diskrete Mathematik und Geometrie
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Date (published):
2026
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Number of Pages:
136
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Keywords:
Mengenlehre auf 2^κ; höhere deskriptive Mengenlehre; forcing
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set theory on 2^κ; higher descriptive set theory; forcing
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Abstract:
The class of Borel sets is a central object of study in both classical and higher descriptive set theory. The latter is an area of research whose central conceit is replacing the role of ω with an uncountable cardinal κ; this naturally leads to the study of higher Borel sets on Polish-like spaces of uncountable weight. This topic of the thesis is a systematic study of the structure of higher Borel hierarchies.
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