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Topology (2023)

Topology
21 videos
Updated 1 year ago
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This course is a point-set topology course. It is a continuation of my Propositional and First Order Predicate Logic course. It begins with Axiomatic Set Theory, and then continues as a standard University Topology 1 course.
  1. 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!
     41  views 1 comment
  2. Lecture 1 (Topology) Axiomatic Set Theory
    1:50:39

    Lecture 1 (Topology) Axiomatic Set Theory

    Axiomatic Set Theory (Started)
     11  views
  3. 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
     12  views
  4. Lecture 3 (Topology) Set Theoretical Relations
    2:11:41

    Lecture 3 (Topology) Set Theoretical Relations

    Chapter 0: Introduction - 0.5: Relations
     18  views
  5. 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)
     18  views
  6. 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)
     36  views
  7. 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)
     29  views
  8. 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)
     28  views
  9. 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)
     8  views
  10. Lecture 9 (Topology) Closed Sets
    1:58:43

    Lecture 9 (Topology) Closed Sets

    Chapter 1: Topological Spaces - 1.3: Closed Sets
     28  views