Topology (2023)
Topology
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Compactness & Extreme Value Theorem: Last Lecture! – Lecture 22 (Topology)
1:00:37

Compactness & Extreme Value Theorem: Last Lecture! – Lecture 22 (Topology)

Chapter 7: Compactness - 7.2 Compactness in Metric Spaces - 7.3 The Extreme Value Theorem Thanks for watching!
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Lecture 1 (Topology) Axiomatic Set Theory
1:50:39

Lecture 1 (Topology) Axiomatic Set Theory

Axiomatic Set Theory (Started)
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Lecture 2 (Topology) Axiomatic Set Theory and Intro to Topology
2:10:28

Lecture 2 (Topology) Axiomatic Set Theory and Intro to Topology

Set Theory (Finished) Chapter 0: Introduction - 0.1 What is Topology - 0.3 Sets and Operations
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Lecture 3 (Topology) Set Theoretical Relations
2:11:41

Lecture 3 (Topology) Set Theoretical Relations

Chapter 0: Introduction - 0.5: Relations
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Lecture 4 (Topology) Relations and Functions
1:53:36

Lecture 4 (Topology) Relations and Functions

Chapter 0: Introduction - 0.5: Relations (finished) - 0.6: Functions (started)
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Lecture 5 (Topology) Functions and Open Sets in a Topology
1:45:55

Lecture 5 (Topology) Functions and Open Sets in a Topology

Chapter 0: Introduction - 0.6: Functions (finished) Chapter 1: Topological Spaces - 1.1: Open Sets and the Definition of a Topology (started)
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Lecture 6 (Topology) Open Sets
1:54:51

Lecture 6 (Topology) Open Sets

Chapter 1: Topological Spaces - 1.1: Open Sets and the Definition of a Topology (finished)
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Lecture 7 (Topology) Basis for a Topology
2:08:53

Lecture 7 (Topology) Basis for a Topology

Chapter 1: Topological Spaces - 1.2: Basis for a Topology (started)
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Lecture 8 (Topology) Basis for a Topology
1:44:26

Lecture 8 (Topology) Basis for a Topology

Chapter 1: Topological Spaces - 1.2: Basis for a Topology (finished)
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Lecture 9 (Topology) Closed Sets
1:58:43

Lecture 9 (Topology) Closed Sets

Chapter 1: Topological Spaces - 1.3: Closed Sets
Lecture 10 (Topology) Interior and Closure of Sets
1:53:43

Lecture 10 (Topology) Interior and Closure of Sets

Chapter 2: Interior, Closure, and Boundary - 2.1: Interior and Closure of Sets
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Lecture 11 (Topology) Limit Points and Boundaries
2:05:51

Lecture 11 (Topology) Limit Points and Boundaries

Chapter 2: Interior, Closure, and Boundary - 2.2: Limit Points - 2.3: The Boundary of a Set
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Lecture 12 (Topology) Subspace and Product Topologies
1:54:33

Lecture 12 (Topology) Subspace and Product Topologies

Chapter 3: Creating NewTopological Spaces - 3.1: The Subspace Topology - 3.2: The Product Topology (Started)
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Lecture 13 (Topology) Product and Quotient Space Topologies
2:05:00

Lecture 13 (Topology) Product and Quotient Space Topologies

Chapter 3: Creating NewTopological Spaces - 3.2: The Product Topology (Finished) - 3.3: The Quotient Topology - 3.4: More Examples of Quotient Spaces
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Lecture 14 (Topology) Continuity and the Epsilon-Delta Definition
2:05:38

Lecture 14 (Topology) Continuity and the Epsilon-Delta Definition

Chapter 4: Continuous Functions and Homeomorphisms - 4.1 Continuity
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Lecture 15 (Topology) Continuity and Homeomorphisms
2:32:38

Lecture 15 (Topology) Continuity and Homeomorphisms

Chapter 4: Continuous Functions and Homeomorphisms - 4.1 Continuity (Finished) - 4.2 Homeomorphisms (Started)
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Lecture 16 (Topology) Metric Spaces
1:50:14

Lecture 16 (Topology) Metric Spaces

Chapter 4: Continuous Functions and Homeomorphisms - 4.2 Homeomorphisms (Finished) Chapter 5: Metric Spaces - 5.1 Metrics
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Lecture 17 (Topology) Properties of Metric Spaces and Isometries
1:34:31

Lecture 17 (Topology) Properties of Metric Spaces and Isometries

Chapter 5: Metric Spaces - 5.3 Properties of Metric Spaces
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Lecture 18 (Topology) Connected Topological Spaces
1:47:09

Lecture 18 (Topology) Connected Topological Spaces

Chapter 6: Connectedness - 6.1 A First Approach to Connectedness
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Lecture 19 (Topology) Connectedness, Homeomorphisms, and the IVT
1:42:57

Lecture 19 (Topology) Connectedness, Homeomorphisms, and the IVT

Chapter 6: Connected - 6.2 Distinguishing Topological Spaces via Connectedness - 6.3 Intermediate Value Theorem (Started)
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Lecture 20 (Topology) Intermediate Value Theorem, Path Connectedness, and Compactness
1:41:24

Lecture 20 (Topology) Intermediate Value Theorem, Path Connectedness, and Compactness

Chapter 6: Connected - 6.3 Intermediate Value Theorem - 6.4 Path Connectedness Chapter 7: Compactness - 7.1 Open Coverings and Compact Spaces (started)

Lecture 10 (Topology) Interior and Closure of Sets

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18
Health & Science Topology Interior Closure

Chapter 2: Interior, Closure, and Boundary
- 2.1: Interior and Closure of Sets

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