Science, Maths & Technology
Surfaces
...the curve) and the other unbounded (the ‘outside’); Figure 2 shows such a curve C in the plane, with its inside shaded. Although the statement of the Jordan Curve Theorem is entirely plausible – indeed, it is fundamental to many parts of mathematics – the theorem is difficult to prove. In fact, it is likely that few mathematicians have ever seen a proof, because such proofs merely confirm what we already believe. It is good ......