A Friendly Introduction to Abstract Algebra / Group theory (lesson 6): EQUIVALENCE RELATIONS

Описание к видео A Friendly Introduction to Abstract Algebra / Group theory (lesson 6): EQUIVALENCE RELATIONS

problem set 6:
https://matherialien.jimdofree.com/

00:00 What is a relation?
01:13 Examples of relations
02:28 What is an equivalence relation?
03:32 Examples
06:33 Equivalence classes and factor sets
08:37 Very important example !
11:33 Proposition 5
12:34 Proof of proposition 5
15:39 Important exercise
16:30 Outlook: Construction of the integers and the rational numbers
21:39 What is a partition?
25:12 Proposition 6

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