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Qué (quién) es extremal subset - definición

MATHEMATICAL CONCEPT

Extremal point; Extreme points; Extreme subset of convex set; Extremal set

Cofinal (mathematics)

IN ORDER THEORY, A SUBSET 𝑌 OF A POSET 𝑋 SUCH THAT FOR ANY ELEMENT OF 𝑋, THERE EXISTS AN ELEMENT OF 𝑌 LARGER THAN IT

Cofinal subset; Cofinal function; Cofinal sequence; Cofinal net; Coinitial; Cofinal set; Final function

In mathematics, a subset B \subseteq A of a preordered set (A, \leq) is said to be cofinal or frequent in A if for every a \in A, it is possible to find an element b in B that is "larger than a" (explicitly, "larger than a" means a \leq b).

https://en.wikipedia.org/wiki/Cofinal_(mathematics)

Coinitial

IN ORDER THEORY, A SUBSET 𝑌 OF A POSET 𝑋 SUCH THAT FOR ANY ELEMENT OF 𝑋, THERE EXISTS AN ELEMENT OF 𝑌 LARGER THAN IT

Cofinal subset; Cofinal function; Cofinal sequence; Cofinal net; Coinitial; Cofinal set; Final function

·adj Having a common beginning.

Subset

$<math>A \subseteq B</math> and <math>B \subseteq C</math> implies <math>A \subseteq C.</math>$

SET WHOSE ELEMENTS ARE ALL CONTAINED IN ANOTHER SET

Proper subset; SubSet; Strict subset; Superset; Proper superset; Subsets; ⊆; Inclusion (set theory); Set inclusion; ⊃; ⊂; Subset inclusion; ⊊; Inclusion relation; ⊇; Subset order; Proper subsets; ⊋; ⊈; ⊉; ⊄; ⊅; Membership sign; Superset (mathematics); Subset and superset; Strict superset; Subset relation; Superset inclusion

In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B.

https://en.wikipedia.org/wiki/Subset

Wikipedia

Extreme point

In mathematics, an extreme point of a convex set $S$ in a real or complex vector space is a point in $S$ which does not lie in any open line segment joining two points of $S.$ In linear programming problems, an extreme point is also called vertex or corner point of $S.$

https://en.wikipedia.org/wiki/Extreme point