playlist thumnail

Topology (2023)

Topology
20 videos
Updated 4 months ago
Play All Shuffle
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. 1
    Lecture 1 (Topology) Axiomatic Set Theory
    1:50:39

    Lecture 1 (Topology) Axiomatic Set Theory

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

    Lecture 3 (Topology) Set Theoretical Relations

    Chapter 0: Introduction - 0.5: Relations
    13 views
  4. 4
    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)
    14 views
  5. 5
    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)
    25 views
  6. 6
    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)
    24 views
  7. 7
    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)
    19 views
  8. 8
    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)
    1 view
  9. 9
    Lecture 9 (Topology) Closed Sets
    1:58:43

    Lecture 9 (Topology) Closed Sets

    Chapter 1: Topological Spaces - 1.3: Closed Sets
    24 views
  10. 10
    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
    14 views