All Questions
2 questions
8
votes
1
answer
441
views
Axioms of length
Assume I want to define length of plane curves axiomatically.
It seems to be reasonable to assume that
The length of a unit segment is 1;
Congruent curves have equal lengths;
Length is additive with ...
- 45k
0
votes
1
answer
628
views
Lipschitz boundary vs rectifiable curve boundary
I was looking at an old paper about domains with Lipschitz boundary. I am wondering, suppose that the boundary of a compact domain homeomorphic to a disk is a rectifiable injective curve : is this ...
