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Remarks on the Tripos To Topos Construction: Comprehension, Extensionality, Quotients and Functional-Completeness

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Abstract

We give a description of the Tripos To Topos Construction in terms of the composition of four minor free constructions. Finally we discuss the relation to previous work by Carboni (Rend. Istit. Mat. Univ. Trieste 14(1-2), 1–16, 1982) and Frey (2011).

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Correspondence to Fabio Pasquali.

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Part of the research in this paper was carried out while the author worked at Utrecht University in the NWO-Project ‘The Model Theory of Constructive Proofs’ nr. 613.001.007.

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Pasquali, F. Remarks on the Tripos To Topos Construction: Comprehension, Extensionality, Quotients and Functional-Completeness. Appl Categor Struct 24, 105–119 (2016). https://doi.org/10.1007/s10485-014-9388-1

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