In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

We study the space of all continuous and increasing self-mappings of the real interval [0, 1] equipped with the topology of uniform convergence. In particular, we show that most such functions have at ...

We show that a locally compact group G has equivalent right and left uniform structures if (and only if) the sets of bounded, complex-valued, right and left uniformly ...