show/hide this revision's text 3 reworded

I think the proper Whitehead for maps says that if the cone of the map has trivial homotopy groups, then the map is a homotopy equivalence.

Edit: see also the correct version discussion of Whitehead theorem in the comments.

show/hide this revision's text 2 corrected

I think the proper Whitehead for maps says that if the cone of the map has trivial homotopy groups, then the map is a homotopy equivalence.

Edit: see the correct version in the comments.

show/hide this revision's text 1

I think the proper Whitehead for maps says that if the cone of the map has trivial homotopy groups, then the map is a homotopy equivalence.