Citation for a knot theory statement

  • I
  • Thread starter BillKet
  • Start date
  • #1
84
8
Hello! Where can I find the source for this statement (i.e. a citation for it, ideally the original one): "any smooth k-sphere embedded in ##R^n## with 2n − 3k − 3 > 0 is unknotted". Thank you!
 

Answers and Replies

  • #3
WWGD
Science Advisor
Gold Member
2019 Award
5,359
3,345
I thought knottedness ( of spheres) is a codimension-2 phenomenon.
 
  • #4
mathwonk
Science Advisor
Homework Helper
11,041
1,232
Your impression is to some extent borne out by the second and third sentences of the paper by Zeeman, linked in post #2.
 
  • Like
Likes WWGD

Related Threads on Citation for a knot theory statement

  • Last Post
Replies
1
Views
2K
Replies
3
Views
784
Replies
3
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
11
Views
2K
Replies
2
Views
788
Replies
3
Views
309
  • Last Post
Replies
5
Views
603
  • Last Post
Replies
2
Views
615
  • Last Post
Replies
12
Views
1K
Top