Skip to main content

All Questions

Filter by
Sorted by
Tagged with
18 votes
1 answer
1k views

Sperner's Lemma implies Tucker's Lemma - simple combinatorial proof

Sperner’s Lemma is often called the "combinatorial analog" of Brouwer’s Fixed Point Theorem, and similarly Tucker’s Lemma is often called the combinatorial analog of Borsuk–Ulam’s Theorem. We can ...
Claus's user avatar
  • 6,917
2 votes
0 answers
82 views

Enveloping a Jordan curve with a trace of another one

This question is inspired by this one, or rather the way I understood it. Let $\gamma$ and $\delta$ be parametrised Jordan curves on the plane (i.e. homeomorphisms from $S^1$ onto its image in $\...
erz's user avatar
  • 5,529