Subset - Revision history

Karl Jones at 16:20, 17 September 2016

2016-09-17T16:20:31Z

Karl Jones at 16:19, 17 September 2016

2016-09-17T16:19:44Z

Karl Jones: Created page with "In mathematics, especially in set theory, a set A is a '''subset''' of a set B, or equivalently B is a superset of A, if A is "contained" inside..."

2016-09-17T16:17:56Z

Created page with "In mathematics, especially in set theory, a set A is a '''subset''' of a set B, or equivalently B is a superset of A, if A is "contained" inside..."

New page

In [[mathematics]], especially in [[set theory]], a [[Set (mathematics)|set]] A is a '''subset''' of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B.

A and B may coincide.

The relationship of one set being a subset of another is called inclusion or sometimes containment.

The subset relation defines a [[partial order]] on sets.

The [[algebra structure]] of subsets forms a [[Boolean algebra]] in which the subset relation is called [[Inclusion (Boolean algebra)|inclusion]].

== See also ==

* [[Containment order]]
* [[Partial order]]
* [[Set (mathematics)]]

== External links ==

* [https://en.wikipedia.org/wiki/Subset Subset] @ Wikipedia.org

[[Category:Mathematics]]
[[Category:Set theory]]

@@ Line 5: / Line 5: @@
 The relationship of one set being a subset of another is called inclusion or sometimes containment.
-The subset relation defines a [[partial ordered set]].
+The subset relation defines a [[partially ordered set]].
 The [[algebra structure]] of subsets forms a [[Boolean algebra]] in which the subset relation is called [[Inclusion (Boolean algebra)|inclusion]].
@@ Line 12: / Line 12: @@
 * [[Containment order]]
-* [[Partial ordered set]]
+* [[Partially ordered set]]
 * [[Set (mathematics)]]