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The difference between the Recursive and the Effective topos.
I would like to know which is the real difference between the Recursive topos (in the sense of Mulry) and the Effective topos (in the sense of Hyland). Especially what is related to recursive function …
2
votes
The difference between the Recursive and the Effective topos.
As far as I now (correct me if I'm wrong, please):
1 The recursive topos was introduced in "The topos of recursive sets", Thesis, Buffalo, 1980. It is $Rec=Sh_{J}(Set^{M^{op}})$ where:
-M is the mo …