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changed the statement and the proof 2019-09-02 a0556c5
Fix statement and proof

Thanks to Elden
https://stacks.math.columbia.edu/tag/0EUJ#comment-4335
assigned tag 0EUJ 2018-08-27 0196c42
Tags: Added new tags
created statement with label lemma-universal-homeo-limit in morphisms.tex 2018-08-27 92630a9
Weak normalization; seminormalization

There are many variants we could consider here. For example, one could
consider a category of pairs (R, T) where R is a ring and T is a subset
of its spectrum and look at universal homeomorphisms R ---> S which
induce isomorphisms at residue fields for primes in T. Then I wouldn't
be surprised if you could carry everything through for these...

Another example is to look at rings over Z_{(p)} and consider universal
homeomorphisms R ---> S inducing an isomorphism R[1/p] ---> S[1/p]. This
sometimes comes up when considering rings of invariants.

Etc, etc, etc.