Equivalence class

Related lectures (29)

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Covers equivalence classes, relations, quotient sets, and functions properties.

Explores fractional elements, equivalence relations, and injective mappings in commutative rings.

Introduces equivalence relations, partitions, partial orderings, and total ordering concepts with examples and definitions.

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Explores quotients of groups by equivalence relations and the conditions for well-defined sets.

Explores category equivalences, adjunctions, and group actions in category theory.

Explores three ways to form quotient spaces using group actions and equivalence relations.

Covers equivalence relations, functions, injectivity, surjectivity, and bijectivity with illustrative examples.

Explains equivalence in linear algebra and set calculations with illustrative examples.

Covers equivalence relations, classes, and partitions of a set.