| 11. | Other authors allow disjoint unions of topological manifolds with differing dimensions to be called manifolds.
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| 12. | Repeat this for disjoint unions of families of sets and sums of families of cardinals.
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| 13. | Then is the disjoint union of the.
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| 14. | He proved that they are closed under arbitrary products and Alexandroff compactifications of disjoint unions.
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| 15. | This also means that the disjoint union is the categorical dual of the Cartesian product construction.
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| 16. | More specifically | " K " | is the quotient space of the disjoint union
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| 17. | Some systems also support subtyping of labeled disjoint union types ( such as algebraic data types ).
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| 18. | The union of two prefix orders is the disjoint union, as it is with partial orders.
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| 19. | In the language of category theory, the disjoint union is the coproduct in the category of sets.
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| 20. | The point is that a disjoint union of groups is not a group but it is a groupoid.
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