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Dec 13, 2009 at 0:20 comment added Reid Barton Oops, that last sentence above is certainly false. Exercise: fix it!
Dec 12, 2009 at 16:59 comment added Reid Barton Usually, it isn't one: it's the "homotopy orbits" which is the homotopy colimit over a diagram with one object with automorphism group G. When G = Z, it happens to be the homotopy pushout of the diagram X <- X -> X where the left map is the identity and the right map is the action of a generator of Z.
Dec 12, 2009 at 16:44 comment added Alicia Garcia-Raboso OK, I see the picture, but what homotopy pullback/pushout is that?
Dec 12, 2009 at 16:40 history edited Mariano Suárez-Álvarez CC BY-SA 2.5
added 569 characters in body; added 6 characters in body; added 1 characters in body; added 51 characters in body
Dec 12, 2009 at 16:22 comment added Alicia Garcia-Raboso Yet that does not quite give me an intuition on what they are, only on why they are necessary in some contexts.
Dec 12, 2009 at 16:20 history answered Mariano Suárez-Álvarez CC BY-SA 2.5