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Homotopy theory, homological algebra, algebraic treatments of manifolds.

11 votes
2 answers
586 views

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 …
jim stasheff's user avatar
1 vote
2 answers
170 views

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??
jim stasheff's user avatar
8 votes
0 answers
205 views

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- …
jim stasheff's user avatar