Uniform Temporal Functions in Non-regular Spacetime Geometry

Explore uniform temporal functions in this 45-minute lecture from the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the concept of uniform temporal functions as special types of Cauchy temporal functions, examining their stronger definition and increased tractability for various applications. Compare and contrast uniform and Cauchy time functions, gaining insights into their distinct characteristics and uses. Follow the lecture's structure, covering an introduction, key definitions, in-depth discussion of uniform temporal functions, and illustrative examples to solidify understanding of this advanced mathematical concept in spacetime geometry.