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Homotopy theory, homological algebra, algebraic treatments of manifolds.

7 votes
0 answers
214 views

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 …
user316092's user avatar
4 votes
1 answer
462 views

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 …
user316092's user avatar