From: Thomas Streicher <streicher@mathematik.tu-darmstadt.de>
To: <categories@mta.ca>
Subject: addendum to my question from today
Date: Fri, 18 Sep 2020 11:26:29 +0200 [thread overview]
Message-ID: <E1kJdpP-0001SF-7K@rr.mta.ca> (raw)
I should have added that the question I asked today is very related
to the one raised by Lawvere and Menni at the end of section 10 of
their TAC 30 paper from 2015.
In my eyes the relation is as follows. Even if not all essential
hyperconnected local gm's are locally connected there still remains
the question whether the implication holds under the additional
assumption that the inverse image part of the gm p : EE-->SS preserves
(ordinary) exponentials. Of course, locally connected amounts to p^*
preserving dependent function spaces (the Pi_u for u in SS. So the
question is whether for the purpose at stake it suffices that p^*
preserves ordinary (non-dependent) function spaces.
Thomas S.
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reply other threads:[~2020-09-18 9:26 UTC|newest]
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