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Jun 23, 2021 at 22:30 comment added Mendieta ok. Good example, many thanks. Yet, it is the sort of thing I wanted to avoid with hyperconnectedness. I am not sure how MO works so I hope the following is appropriate: I'll arrow up your answer, consider the question answered by Blass and ask a new question with the further hypotheses.
Jun 23, 2021 at 22:21 comment added Peter LeFanu Lumsdaine @Mendieta: Yes — sorry, am on mobile so editing/proofreading the maths is tricky.
Jun 23, 2021 at 22:13 comment added Mendieta please confirm: you mean ${\coprod_n U_n \subseteq \Delta(\mathbb{N}) \times 1}$ ?
Jun 23, 2021 at 21:47 history answered Peter LeFanu Lumsdaine CC BY-SA 4.0