Quotient space (topology)

Definition of a Topological Space

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space

From playlist Topology

Quotient group example

Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.

From playlist Abstract algebra

What is a Manifold? Lesson 14: Quotient Spaces

I AM GOING TO REDO THIS VIDEO. I have made some annotations here and annotations are not visible on mobile devices. STAY TUNED. This is a long lesson about an important topological concept: quotient spaces.

From playlist What is a Manifold?

Topology: Compactness

This video is about compactness and some of its basic properties.

From playlist Basics: Topology

Topology: Topological Spaces

This video is about topological spaces and some of their basic properties.

From playlist Basics: Topology

Quotient groups

The idea of a quotient group follows easily from cosets and Lagrange's theorem. In this video, we start with a normal subgroup and develop the idea of a quotient group, by viewing each coset (together with the normal subgroup) as individual mathematical objects in a set. This set, under

From playlist Abstract algebra

Topology (What is a Topology?)

What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b

From playlist Topology

Topology: Quotients

This video is about the quotients of spaces.

From playlist Basics: Topology

Topology: Metric Spaces

This video is about metric spaces and some of their basic properties.

From playlist Basics: Topology

What is a Manifold? Lesson 15: The cylinder as a quotient space

What is a Manifold? Lesson 15: The cylinder as a quotient space This lesson covers several different ideas on the way to showing how the cylinder can be described as a quotient space. Lot's of ideas in this lecture! ... too many probably....

From playlist What is a Manifold?

Algebraic Topology - 9 - Topology of Pushouts and Pullbacks

From playlist Algebraic Topology

A Group Theoretic Description | The Geometry of SL(2,Z), Section 2.1

Expressing the complex upper half plane as a quotient of topological (in fact, Lie) groups. Twitter: https://twitter.com/KristapsBalodi3 Topological Groups (0:00) A Lemma on Stabilization (7:19) Connecting Geometry and Algebra (9:55)

From playlist The Geometry of SL(2,Z)

Manifolds - Part 4 - Quotient Spaces

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From playlist Manifolds

What_is_a_Manifold_Lesson_16: The Mobius strip

What is a Manifold? Lesson 16: The Mobius strip The Mobius strip is a quotient space, a manifold, and a fiber bundle. In this lecture we define the Mobius strip as a quotient space and prove that it is a manifold.

From playlist What is a Manifold?

Manifolds - Part 4 - Quotient Spaces [dark version]

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From playlist Manifolds [dark version]

Jens Hemelaer: Toposes in arithmetic noncommutative geometry

Talk by Jens Hemelaer in Global Noncommutative Geometry Seminar (Americas) on February 5, 2021

From playlist Global Noncommutative Geometry Seminar (Americas)

MAST30026 Lecture 7: Constructing topological spaces (Part 3)

Today's lecture was all about examples, constructed using the disjoint union, quotient and pushouts from last lecture. These examples includes the torus, Mobius band, and finally arbitrary CW complexes. Lecture notes: http://therisingsea.org/notes/mast30026/lecture7.pdf The class webpage:

From playlist MAST30026 Metric and Hilbert spaces

Introduction to Metric Spaces

Introduction to Metric Spaces - Definition of a Metric. - The metric on R - The Euclidean Metric on R^n - A metric on the set of all bounded functions - The discrete metric

From playlist Topology

MAST30026 Lecture 7: Constructing topological spaces (Part 2)

I defined the disjoint union of topological spaces, quotient spaces and the pushout. Lecture notes: http://therisingsea.org/notes/mast30026/lecture7.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for this class, every

From playlist MAST30026 Metric and Hilbert spaces