Quotient

Related lectures (30)

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Explores formogenic spaces, topological groups, quotients, and rotations on the unit sphere.

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

Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.

Explores division in rational numbers and the extension of addition from integers.

Explores pointed mapping spaces, the exponential law, adjunction properties, and homotopic classes.

Explores group operations with cyclic properties and the universal ownership of quotients.

Covers the universal property of group products and homomorphisms through quotients, with examples.

Introduces free groups, explains their formation by generators, and provides illustrative examples.

Explores homotopy invariance and its application to homology groups of quotients, showcasing isomorphism and chain homotopy.

Explores equivalence relations, reflexivity, equivalence classes, and constructing new sets based on equivalent elements.