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Jul 3 at 2:56 comment added Dev Sinha The iterated bar construction model for Eilenberg-MacLane spaces is not a manifold but is "geometric". See youtube.com/watch?v=RYHoZDogBlU&t=3s
May 23 at 11:09 vote accept Michael Albanese
May 23 at 3:07 comment added Ryan Budney @Nandor: yes it is. I don't think I know any category other than connected, oriented manifolds where it is defined.
May 22 at 20:43 comment added Antonius @Ryan Budney: is the connected sum a manifold?
May 22 at 16:43 comment added Ryan Budney @Nandor: one way would be to take a connect-sum of $k$ copies of $S^1 \times S^n$, and then take the natural inclusions as $n$ varies.
May 22 at 12:12 history became hot network question
May 22 at 11:54 answer added Tom Goodwillie timeline score: 21
May 22 at 8:55 comment added Antonius @Tom Goodwillie: just out of curiosity, how would you represent a bouquet of circles?
May 22 at 1:29 comment added Tom Goodwillie I believe that any homotopy type that is represented by a countable CW complex is also represented by an increasing union of closed manifolds.
May 22 at 0:04 history asked Michael Albanese CC BY-SA 4.0