CORDIS Project
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This research focuses on fundamental questions in modern analysis, particularly concerning the structure of sets and functions in various mathematical spaces. It aims to explore differentiability and uniqueness in the context of geometric measure theory and metric spaces.
The objective of this research proposal is to develop new methods to answer a number of fundamental questions generated by the recent development of modern analysis.
The questions we are interested in are specifically related to the study of local structure of sets and functions in the classical Euclidean setting, in infinite dimensional Banach spaces and in the modern setting of analysis on metric spaces.
The main areas of study will be:(a) Structure of null sets and representation of (singular…
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