Thread: Limit of sets and functions View Single Post
 P: 27 Hi context: i am trying to understand convergence of sequence of random variables. random variable are just measurable functions but I still cant get my head around the connection between sequence of functions and sequence of sets. To start suppose $$A_n \subset \Omega$$ i dont even understand this definition $$sup_{k \geq n} A_{k} := \bigcup^{\infty}_{k=n}A_k$$. could someone explain this to me with a concrete example, or point me to a book that deals with sequence of sets and sequence of functions thanks