The effective topos - by Hyland I have one other reference request (cf. my previous question: Topos theory reference suitable for undergraduates)
Are there any references on effective topoi that are better than Hyland's original paper:
The effective topos J.M.E. Hyland, in: Troelstra and Van Dalen (eds), The L.E.J.Brouwer Centenary Symposium, North-Holland 1982, 216.
 A: Realizability: An Introduction To Its Categorical Side by Jaap van Oosten is all about realizability toposes.
There are some lecture notes online by Wesley Phoa entitled An introduction to fibrations, topos theory, the effective topos and modest sets, which do exactly what it says on the tin.
There is also some good material in Freyd and Scedrov's book Categories, Allegories.
A: I'd prefer not to discuss "better" but another useful treatment of the effective topos is in the book "Categorical Logic and Type Theory" by Bart Jacobs (particularly Chapter 6).
A: Andrew Pitts’ note “Tripos Theory in Retrospect” sheds some useful light on $\mathcal{Eff}$, from a slightly different angle than most other books do.  It’s available at his publications page, and also at doi:10.1017/S096012950200364X (paywalled but potentially more durable).
For my part, even as quite a toposophile, $\mathcal{Eff}$ (and realizability toposes in general) took me a while to get comfortable with — a lot longer than any of the other genres, sheaves, syntactic ones, etc.  In the end it must have taken about four or five attempts to get to grips with them, over several years — spending a little time getting a little way on each attempt, understanding one step in the construction (e.g.: the tripos-to-topos step in general), then waiting a few months while that sank in, before coming back for another crack at the next step.  This certainly isn’t everyone’s experience, of course, but I’ve talked to at least a couple of other people who had a similar time.
