Non-additive measure theory extends the traditional framework of measure and integration by allowing for measures that do not necessarily satisfy the additivity property. This broader perspective has ...

Geometric measure theory provides a rigorous framework for studying and quantifying the properties of sets and surfaces in Euclidean spaces. This discipline blends techniques from differential ...

We first argue that there are important reasons for extending classical measure theory. We then define this extended theory and give examples of new phenomena that it describes. The basic structure of ...