Thread: limit of sets and functions View Single Post

## limit of sets and functions

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

 PhysOrg.com science news on PhysOrg.com >> Front-row seats to climate change>> Attacking MRSA with metals from antibacterial clays>> New formula invented for microscope viewing, substitutes for federally controlled drug