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