| 21. | For example, the disjoint union of a Sierpinski carpet and a circle is also a universal plane curve.
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| 22. | All of these theories had dependent products, dependent sums, disjoint unions, finite types and natural numbers.
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| 23. | In the category of topological spaces, it is the disjoint union ( also the category of sets ).
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| 24. | For, the product is given by the Cartesian product, whereas the coproduct is given by the disjoint union.
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| 25. | In particular, the 1-skeleton of X / \ sim is a disjoint union of wedges of circles.
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| 26. | Although their disjoint union makes the origins of the intervals distinct, the metric identifies them by assigning them 0 distance.
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| 27. | :Analogous examples are given by the modules, by the free product of groups and by the disjoint union of sets.
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| 28. | An ML datatype can be thought of as a disjoint union of tuples ( or a " sum of products " ).
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| 29. | The tensor algebra is simply the disjoint union ( direct sum ?" ) of all tensor products of this vector space.
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| 30. | By the basic properties of compactness, a closed manifold is the disjoint union of a finite number of connected closed manifolds.
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