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Homotopy theory, homological algebra, algebraic treatments of manifolds.
4
votes
1
answer
462
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When are two kinds of weak equivalence 'the same'?
First, an observation: Here are two examples of when different notions of weak equivalence in a category turn out to be the "same":
(Whitehead's Theorem) Two CW complexes are homotopy equivalent if …
7
votes
0
answers
214
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Notation: Why Ω for the based loop functor?
This is just a question about notation - probably useless, but it's always baffled me:
Why was $\Omega$ chosen to denote the based loop functor?
I once heard someone speculate: "It's because $\Omega …