The authors show that the predicative effective topos pEff carries a fibred structure of 'sets', whose fibres are locally cartesian closed list-arithmetic pretoposes with a small subobject classifier and formal Church's thesis.
Natural models of homotopy type theory
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Fibred sets within a predicative and constructive effective topos
The authors show that the predicative effective topos pEff carries a fibred structure of 'sets', whose fibres are locally cartesian closed list-arithmetic pretoposes with a small subobject classifier and formal Church's thesis.