Quotient by a Relation

Related lectures (32)

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

Covers homotopy, quotient spaces, and the universal property in topology.

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Covers the definition and examples of topological groups, focusing on actions of groups on spaces.

Covers equivalence classes, decomposition of sets, and constructing quotient sets.

Covers homogeneous spaces, group actions, and separating quotient spaces in mathematics.

Introduces equivalence classes for decomposing a set into subsets of equivalent elements, defining the quotient set X/~.

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

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

Explores the local structure of totally disconnected locally compact groups, focusing on GER and Mon (G), their properties, and faithful actions.