Difference between revisions of "Disjoint union"
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* [[Disjoint union (set)]] - The {{link|coproduct|category theory}} construction, in the ''[[SET]]'' [[category]] | * [[Disjoint union (set)]] - The {{link|coproduct|category theory}} construction, in the ''[[SET]]'' [[category]] | ||
** Most - if not all - instances of the disjoint union involve the disjoint union of sets. For {{M|(X_\alpha)_{\alpha\in I} }} a family of sets, {{M|1=\coprod_{\alpha\in I}X_\alpha}} is their disjoint union | ** Most - if not all - instances of the disjoint union involve the disjoint union of sets. For {{M|(X_\alpha)_{\alpha\in I} }} a family of sets, {{M|1=\coprod_{\alpha\in I}X_\alpha}} is their disjoint union | ||
| − | * [[ | + | * [[Disjoint union (topology)]] - topological construct, defining a topology on the disjoint union of the underlying set of a family of topological spaces |
{{Definition|Set Theory|Elementary Set Theory|Topology}} | {{Definition|Set Theory|Elementary Set Theory|Topology}} | ||
Latest revision as of 23:29, 25 September 2016
Disambiguation
This page lists articles associated with the same title.
If an internal link led you here, you may wish to change the link to point directly to the intended article.
Disjoint union may refer to:
- Disjoint union (set) - The coproduct construction, in the SET category
- Most - if not all - instances of the disjoint union involve the disjoint union of sets. For [ilmath](X_\alpha)_{\alpha\in I} [/ilmath] a family of sets, [ilmath]\coprod_{\alpha\in I}X_\alpha[/ilmath] is their disjoint union
- Disjoint union (topology) - topological construct, defining a topology on the disjoint union of the underlying set of a family of topological spaces
