Family of Sets

Date: September 29 2022

Summary: A simple overview on what a family of sets actually is

Keywords: ##summary #set #family #subset #archive

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Table of Contents

Reading Motivation

I am having trouble reading some set theoretic notation. Hoping by gaining better familiarity with family of sets, I can understand notation better.

Family of Sets

In brief, a family of sets could be the following:

Definition 1: A family of sets, \(F\), could be a set of subsets over a set \(X\). An example of this would be the following scenario:

Let \(X = {1, 2, 3, 4}\)

is non-exhaustive as there could be more subsets derived from \(X\).

Definition 2: A family of sets, \(F\), could be a set of sets where each set is independent from the others. An example of this would be the following scenario:

Let \(A = \{1, 2, 3\}\), \(B = \{4, 5, 6\}\), and \(C = \{2, 4, 6\}\)

How To Cite

Zelko, Jacob. Family of Sets. https://jacobzelko.com/09302022033236-family-sets. September 29 2022.

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