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Homotopy theory, homological algebra, algebraic treatments of manifolds.
11
votes
2
answers
586
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In Top, *how* do conjugate homorphisms of groups induce homotopies of classifying maps?
In Top, how do conjugate homorphisms of groups induce homotopies of classifying spaces?
They exist— there's an abstract proof, but how is BG → BH written in terms of the homotopy??
If G and H are only …
8
votes
0
answers
205
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Universal bundles for monoids versus groups
Dold and Lashof compare their construction for a monoid M to Milnor's
when M is a group G. They give an explicit comparison for the first stage of the constructions. Somewhere I've seen the general n- …
1
vote
2
answers
170
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Reference for choosing a path lifting function?
I recall having seen discussion of a Hurewicz or Serre fibration
equipped with a chosen path lifting function. Citation??