## New answers tagged locally-presentable-categories

8
votes

Accepted

### Are Euclidean spaces $\Delta$-generated?

Yesterday, I answered in a comment, but I'll give a more detailed answer today so that this question doesn't linger on the unanswered queue. First, the idea of $\Delta$-generated spaces is just like &...

3
votes

### Is every locally $\kappa$-presentable category, also locally $\tau$-presentable for any $\tau > \kappa$?

The answer to your question is positive. See Theorem 1.20 and subsequent Remark in the book of Adamek and Rosicky.

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