Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Quotient

Related lectures (30)

Orbit Spaces

Explores the concept of orbit spaces and group actions in topological spaces, including translations and multiplications.

Multiplication in Rational Numbers

Covers the extension of addition and multiplication operations in rational numbers.

Number Theory: Division

Explores the concept of division in number theory, including properties, algorithms, and examples.

Proper Actions and Quotients

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Analyse 2: Division euclidienne

Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.

Homogeneous Spaces and Quotients

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

Homogeneous Spaces

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

Topological Groups

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

Decimal Expansion: Division and Periodicity

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

Division in Rational Numbers

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

Pointed Mapping Spaces: Exponential Law and Adjunction

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

Universal Property of G*H

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

Free Groups: Introduction and Examples

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

Recollements: Building New Spaces by Gluing Together

Introduces recollements, showing how to build new spaces by assembling and gluing them together.

Properties of Division

Covers the properties of division in integers and the relationship between divisibility and unique quotients.

Push-out: Categorical Perspective on Quotients

Explores the concept of push-out in group homomorphisms.

From embedded to general manifolds: Why?

Explores upgrading foundations from embedded to general manifolds in optimization, discussing smooth sets and tangent vectors.

The Fundamental Group of a Surface

Explains the fundamental group of a surface, focusing on polygonal presentation, cell structure, and vertex identification.

Cohomology: Cross Product

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Fractions of Rings Log in to Mediaspace to watch this video

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.