Introduces theory of a rank function measuring distance from Fraïssé universality and proves it realizes every countable ordinal for free-amalgamation classes, tournaments, and linear orders with explicit computation.
Dugald Macpherson
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2026 1verdicts
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A rank function for Fra\"{\i}ss\'{e} classes and the rank property
Introduces theory of a rank function measuring distance from Fraïssé universality and proves it realizes every countable ordinal for free-amalgamation classes, tournaments, and linear orders with explicit computation.