Sigma-Algebra Generated by Unitary Subsets and Its Measurable Functions

Let X be a non-empty set and let E denote the collection
of all unitary subsets of X, that is,
E = {{x} ; x $\in$ X}.

(a) What is the $\sigma $ -algebra generated by E?
(b) If A is the $\sigma $-algebra generated by E, what are the functions A-measurable f : X $\rightarrow $ R?


Answers can only be viewed under the following conditions:
  1. The questioner was satisfied with and accepted the answer, or
  2. The answer was evaluated as being 100% correct by the judge.
View the answer
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to a 50% commission on every question that your affiliated users ask or answer.