Other Meanings
Sometimes "almost disjoint" is used in some other sense, or in the sense of measure theory or topological category. Here are some alternative definitions of "almost disjoint" that are sometimes used (similar definitions apply to infinite collections):
- Let κ be any cardinal number. Then two sets A and B are almost disjoint if the cardinality of their intersection is less than κ, i.e. if
- The case of κ = 1 is simply the definition of disjoint sets; the case of
- is simply the definition of almost disjoint given above, where the intersection of A and B is finite.
- Let m be a complete measure on a measure space X. Then two subsets A and B of X are almost disjoint if their intersection is a null-set, i.e. if
- Let X be a topological space. Then two subsets A and B of X are almost disjoint if their intersection is meagre in X.
Read more about this topic: Almost Disjoint Sets
Famous quotes containing the word meanings:
“Well, “slithy” means “lithe and slimy.” “Lithe” is the same as “active.” You see, it’s like a portmanteau—there are two meanings packed up into one word.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“Man cannot bury his meanings so deep in his book, but time and like-minded men will find them. Plato had a secret doctrine, had he? What secret can he conceal from the eyes of Bacon? of Montaigne? of Kant? Therefore, Aristotle said of his works, “They are published and not published.””
—Ralph Waldo Emerson (1803–1882)