Convergent sequences in topological spaces

This is a short lecture about convergent sequences in a topological space. Convergence of sequences typically requires the notion of a metric (a way to measure distances), we generalize the idea of convergence so that no metric is required. This is for my online topology class.

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Hausdorff spaces
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Hausdorff spaces

Topology Lecture 03: Convergence
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Topology Lecture 03: Convergence

23-1 ปริพันธ์ตามผิว ตอนที่ 1
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23-1 ปริพันธ์ตามผิว ตอนที่ 1

Pointwise and Uniform Convergence Visualized
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Pointwise and Uniform Convergence Visualized

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

The Concept So Much of Modern Math is Built On | Compactness
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The Concept So Much of Modern Math is Built On | Compactness

Topology vs "a" Topology | Infinite Series
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Topology vs "a" Topology | Infinite Series

The Hierarchy of Math Spaces
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The Hierarchy of Math Spaces

Connectedness
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Connectedness

What is a Topological Space?
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What is a Topological Space?

The French Do Not Care About Work
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The French Do Not Care About Work

The Strangest Things that Correlate with IQ
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The Strangest Things that Correlate with IQ

We're 99.9% sure this pattern is true, but no one can prove it
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We're 99.9% sure this pattern is true, but no one can prove it

Continuity in a metric space
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Continuity in a metric space

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

Topology (What is a Topology?)
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Topology (What is a Topology?)

The Obviously True Theorem No One Can Prove
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The Obviously True Theorem No One Can Prove

The Core of Topology
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The Core of Topology