disjoint union sentence in Hindi
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- Thus, a manifold has a handle decomposition with only " 0 "-handles if it is diffeomorphic to a disjoint union of balls.
- It follows that a locally connected space " X " is a topological disjoint union \ coprod C _ x of its distinct connected components.
- For any cardinal number K, the K-hedgehog space is formed by taking the disjoint union of K real unit intervals identified at the origin.
- In other words, if is the set of all th roots of unity and is the set of primitive ones, is a disjoint union of the:
- Then any smooth separated scheme of finite type over " k " is a finite disjoint union of smooth varieties over " k ".
- But in Boole's original system, + was a partial operation : in the language of set theory it would correspond only to disjoint union of subsets.
- That is, the free product plays the same role in group theory that disjoint union plays in set theory, or that the direct sum plays in module theory.
- That is, it is a functor whose value on a disjoint union of manifolds is equivalent to the tensor product of its values on each of the constituent manifolds.
- Another case of this abstract notion of partial trace takes place in the category of finite sets and bijections between them, in which the monoidal product is disjoint union.
- In particular, every uncountable Polish space has the perfect set property, and can be written as the disjoint union of a perfect set and a countable open set.
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