![[identity profile]](https://www.dreamwidth.org/img/silk/identity/openid.png) kaet.livejournal.com |
Fri 2002-11-15 11:38 |
Thanks!
My main concern was that I thought it was obvious with the extra dimensions and if there's no way to do it in three, I shouldn't waste time trying to warp my brain around it.
I'd come across this bijection definition, but I thought that the two things were equivalent (given everyone 'knows' that's what topological deformation is). I shall endeavour to abandon it, :). It makes more sense when you're dealing with immersions anyway, I think, to think of them as 1-to-1 mappings of neighbourhoods rather than the screwy one about intersections in n-2 dimensions, or whatever it is, so the deformation thing probably gives up even the advantage of being more intuitive when you get to more involved stuff, anyway.
I had also suspected that it was that my brain wasn't warped enough to untie the knot in three, :). Some of those shapes are just, just not natural, :).
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