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Jul 30, 2023 at 18:20 comment added jaylooker @YemonChoi The Eilenberg-MacLane space $K(G,1)$ is a topos because the classifying topos of a group $G$ (its topos) is its classifying space $BG$. Hatcher's Corollary 1.28 is relevant because the fundamental group and their coverings are important when constructing the sheaf of a topos. The sheaf is a presheaf with a covering condition.
Jul 30, 2023 at 14:46 review Close votes
Aug 4, 2023 at 3:01
Jul 30, 2023 at 14:28 comment added Yemon Choi In your final sentence, how is the Eilenberg-MacLane space $K(G,1)$ supposed to be a topos? And what is the relevance of Corollary 1.28 of Hatcher?
S Jul 29, 2023 at 23:05 review First questions
Jul 29, 2023 at 23:23
S Jul 29, 2023 at 23:05 history asked jaylooker CC BY-SA 4.0