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A class of higher inductive types in Zermelo-Fraenkel set theory

Published 28 May 2020 in math.LO | (2005.14240v2)

Abstract: We define a class of higher inductive types that can be constructed in the category of sets under the assumptions of Zermelo-Fraenkel set theory without the axiom of choice or the existence of uncountable regular cardinals. This class includes the example of unordered trees of any arity.

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