11. My point is that it's the null set . 12. In the null set , this is always false. 13. A negligible set need not be measurable, but every measurable negligible set is automatically a null set . 14. Detection with close or null set -back can be accomplished through the pure scale changes of looming motion. 15. Striving to get rid of null sets , mathematicians often use equivalence classes of measurable sets or functions. 16. A number of cardinal characteristics naturally arise as Lebesgue null sets and the ideal of meagre sets. 17. It is assumed that the set is not a null set , and is endowed with the conditional measure. 18. Seems like the " non-citizen residents require IDs but tourists do " category wasn't a null set after all. 19. A standard probability space may contain a null set of any cardinality, thus, it need not be countably separated. 20. So, obviously a system of axioms which is the null set does not make for a very interesting axiomatic system.
