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What is a Manifold? Lesson 1: Point Set Topology and Topological Spaces

This will begin a short diversion into the subject of manifolds. I will review some point set topology and then discuss topological manifolds. Then I will return to the "What is a Tensor" series. It has been well over a year since we began this project. We now have a Patreon Page:   / xylyxylyx   Please consider supporting this channel for more lectures about the deepest subjects ever studied!

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What is a Manifold? Lesson 2:  Elementary Definitions
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What is a Manifold? Lesson 2: Elementary Definitions

I never intuitively understood Tensors...until now!
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I never intuitively understood Tensors...until now!

This open problem taught me what topology is
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This open problem taught me what topology is

The hidden logic behind #, @, & and §
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The hidden logic behind #, @, & and §

Weird Things Happen When Energy Goes Negative
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Weird Things Happen When Energy Goes Negative

How did they make this in the 1800's?!
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How did they make this in the 1800's?!

The Meaning of the Metric Tensor
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The Meaning of the Metric Tensor

Manifolds #1 - Introducing Manifolds
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Manifolds #1 - Introducing Manifolds

How (and why) to take a logarithm of an image
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How (and why) to take a logarithm of an image

Something is jamming GPS over Europe. Here's what we found
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Something is jamming GPS over Europe. Here's what we found

Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda
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Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda

What is a Manifold? Lesson 3:  Separation
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What is a Manifold? Lesson 3: Separation

Topology Lecture 01: Topological Spaces
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Topology Lecture 01: Topological Spaces

The Hierarchy of Math Spaces
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The Hierarchy of Math Spaces

Riemannian manifolds, kernels and learning
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Riemannian manifolds, kernels and learning

What's a Tensor?
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What's a Tensor?

Electrons Don't Actually Orbit Like This
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Electrons Don't Actually Orbit Like This

The derivative isn't what you think it is.
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The derivative isn't what you think it is.

What is a Manifold? - Mikhail Gromov
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What is a Manifold? - Mikhail Gromov

What is a Manifold? Lesson 12: Fiber Bundles - Formal Description
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What is a Manifold? Lesson 12: Fiber Bundles - Formal Description

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