| 词条 | Conull set |
| 释义 |
In measure theory, a conull set is a set whose complement is null, i.e., the measure of the complement is zero.[1] For example, the set of irrational numbers is a conull subset of the real line with Lebesgue measure.[2] A property that is true of the elements of a conull set is said to be true almost everywhere.[3] References1. ^{{citation | last = Führ | first = Hartmut | isbn = 3-540-24259-7 | mr = 2130226 | page = 12 | publisher = Springer-Verlag, Berlin | series = Lecture Notes in Mathematics | title = Abstract harmonic analysis of continuous wavelet transforms | url = https://books.google.com/books?id=ERlIzB67I9kC&pg=PA12 | volume = 1863 | year = 2005}}. {{Settheory-stub}}2. ^A related but slightly more complex example is given by Führ, p. 143. 3. ^{{citation | last = Bezuglyi | first = Sergey | contribution = Groups of automorphisms of a measure space and weak equivalence of cocycles | mr = 1774424 | pages = 59–86 | publisher = Cambridge Univ. Press, Cambridge | series = London Math. Soc. Lecture Note Ser. | title = Descriptive set theory and dynamical systems (Marseille-Luminy, 1996) | volume = 277 | year = 2000}}. See [https://books.google.com/books?id=g64TCEiYULAC&pg=PA62 p. 62] for an example of this usage. 1 : Measure theory |
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