23 May
2020
23 May
'20
9:20 p.m.
huh! so it seems like d-surfaces can be knotted, linked, etc. in various ways in dimensions ranging from d+2 up to 2d+1.
On May 23, 2020, at 9:14 PM, Dan Asimov <dasimov@earthlink.net> wrote:
Yup. A p-sphere and a q-sphere can link when they're embedded disjoint from each other in (p+q+1)-dimensional space. (Even when p = q = 0.)
—Dan
Cris Moore wrote: ----- Thanks. I wonder where I got this 2d+1 thing… maybe I’m misremembering some other embedding theorem.
I do like the 5-dimensional construction of two linked 2-spheres, though, assuming I got that right. -----