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Richard Manthorpe's user avatar
Richard Manthorpe's user avatar
Richard Manthorpe's user avatar
Richard Manthorpe
  • Member for 12 years, 4 months
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accepted
When is the inclusion of a relative mapping space into a mapping space a cofibration?
comment
When is the inclusion of a relative mapping space into a mapping space a cofibration?
Thanks Mark, that's exactly the kind of argument I've been looking for!
asked
When is the inclusion of a relative mapping space into a mapping space a cofibration?
awarded
 Supporter
awarded
 Scholar
accepted
Does a pointed homotopy equivalence between pointed $G$-spaces which is $G$-equivariant induce a (weak) homotopy equivalence on pointed Borel constructions?
comment
Does a pointed homotopy equivalence between pointed $G$-spaces which is $G$-equivariant induce a (weak) homotopy equivalence on pointed Borel constructions?
Thank you that is exactly what I was looking for. And I guess the result for the scanning map is indeed for $G$-CW complexes.
awarded
 Editor
awarded
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comment
Does a pointed homotopy equivalence between pointed $G$-spaces which is $G$-equivariant induce a (weak) homotopy equivalence on pointed Borel constructions?
Thanks, I did mean $\wedge$, I have updated the question. What if the spaces are not of the G-homotopy types of G-CW complexes? In particular I am thinking of configuration spaces and the scanning map - I have seen this claimed in a paper by Bödigheimer and Madsen when $G$ is a compact lie group.
revised
Does a pointed homotopy equivalence between pointed $G$-spaces which is $G$-equivariant induce a (weak) homotopy equivalence on pointed Borel constructions?
Changed $EG_+\times_G X$ to $EG_+\wedge_G X$.
asked
Does a pointed homotopy equivalence between pointed $G$-spaces which is $G$-equivariant induce a (weak) homotopy equivalence on pointed Borel constructions?