Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

(This is very vague, so sorry if there are approximations)

I remember that one can define continuity as a commutation property of a function with the limit operation. Structurally, i think it maps a filter of x to a filter of f(x)

Do you know similar examples in other areas, like probability, where such seemingly analytical properties can likewise be expressed as commutation on structures but are usually not so ?

I vaguely believe there was some in measure theory.

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.