AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM
AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM
The ‘square peg problem’ or ‘inscribed square problem’ of Toeplitz asks if every simple closed curve in the plane inscribes a (nondegenerate) square, in the sense that all four vertices of that square lie on the curve. By a variety of arguments of a ‘homological’ nature, it is known that …