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awarded  Revival
Mar
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comment A category whose classifying space has nontrivial higher homotopy groups
It's kind of astounding that we can get every weak homotopy type from a poset. Do you know if this related to the fact that the algebraic K-theory spectrum of the category of finite sets is the sphere spectrum?
Mar
3
accepted A category whose classifying space has nontrivial higher homotopy groups
Mar
3
comment A category whose classifying space has nontrivial higher homotopy groups
ahh ok. Thanks!
Mar
3
comment A category whose classifying space has nontrivial higher homotopy groups
That's so cool! So the poset above then comes from writing down $S^2$ as the simplicial complex glued from 3 2-simplices? For a general simplicial complex $X$, how do you define the ordering on the faces?
Mar
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asked A category whose classifying space has nontrivial higher homotopy groups
Oct
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Sep
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accepted example of computing ramification index
Sep
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answered example of computing ramification index
Sep
3
comment example of computing ramification index
Ahh, I see now! Jeez I was being stupid. Thanks for the very informative comment :)
Aug
30
comment example of computing ramification index
@Mohan By totally ramified do you mean that each point in the fibre of the point ramifies? At the moment, I am just trying to compute the ramification indices. I would like to get my hands dirty so to speak :)
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Jun
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accepted An example of a space which fails to be compactly generated
Jun
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revised An example of a space which fails to be compactly generated
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revised An example of a space which fails to be compactly generated
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