Union
From Maths
Revision as of 15:44, 20 December 2015 by Alec (Talk | contribs) (Created page with "==Definition== Given a collection of sets {{M|\{S_\alpha\}_{\alpha\in A} }} their union is: * {{MM|1=\bigcup_{\alpha\in A}S_\alpha}} with the characteristic property that: **...")
Definition
Given a collection of sets {Sα}α∈A their union is:
- ⋃α∈ASαwith the characteristic property that:
- x∈⋃α∈ASα⟺∃β∈A[x∈Sβ]
- x∈⋃α∈ASα⟺∃β∈A[x∈Sβ]
Immediate results
References
TODO: Flesh this out