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Point-Set Topology Video Tutorials
Video Lectures
Displaying all 29 video lectures.
Lecture 1 Play Video |
Metrics Introduction to Metrics |
Lecture 2 Play Video |
Metric Examples (Part 1) The Euclidean Metric |
Lecture 3 Play Video |
Metric Examples (Part 2) The Discrete Metric, the Max Metric and the Taxicab Metric. |
Lecture 4 Play Video |
Open Balls Open Balls in a Metric Space |
Lecture 5 Play Video |
Open Sets Open Sets in a Metric Space |
Lecture 6 Play Video |
Continuity of Functions Between Metric Spaces (Part 1) Continuity of Functions Between Metric Spaces |
Lecture 7 Play Video |
Continuity of Functions Between Metric Spaces (Part 2) Alternate definition of continuity between metric spaces. |
Lecture 8 Play Video |
Unions and Intersections of Open Sets In Metric Spaces Unions and Intersections of Open Sets in Metric Spaces |
Lecture 9 Play Video |
Topological Spaces Definition of a Topology and a Topological Space |
Lecture 10 Play Video |
Topology Examples Examples of Topological Spaces |
Lecture 11 Play Video |
Metric Equivalences Equivalence of two Metric Topologies |
Lecture 12 Play Video |
Continuity of Functions Between Topological Spaces Continuity of functions between Topological Spaces, continuity of constant functions, composition of continuous functions |
Lecture 13 Play Video |
Continuity Examples Examples of continuous and discontinuous functions between topological spaces |
Lecture 14 Play Video |
Closed Sets Closed sets in a topological space |
Lecture 15 Play Video |
Properties of Closed Sets Properties of closed sets in a topological space. |
Lecture 16 Play Video |
Bases Bases for a Topology |
Lecture 17 Play Video |
Subbases Subbases for a topology |
Lecture 18 Play Video |
Topological Distinguishability Courseness and fineness, topological distinguishability of points. |
Lecture 19 Play Video |
Neighbourhoods and Interiors Neighbourhoods of points and interiors of sets. |
Lecture 20 Play Video |
Neighbourhood Bases Neighbourhood Bases in a topological space |
Lecture 21 Play Video |
Axioms Of Countability First countable and second countable topological spaces |
Lecture 22 Play Video |
Sequences (Part 1) Definition of sequences in a topological space |
Lecture 23 Play Video |
Sequences (Part 2) Subsequences, Cluster Points, Examples of sequences in topological spaces |
Lecture 24 Play Video |
Sequential Continuity Sequentially continuous functions between topological spaces |
Lecture 25 Play Video |
Sequential Continuity Counterexample A sequentially continuous noncontinuous function with a non first countable domain |
Lecture 26 Play Video |
Directed Sets Introduction to directed sets. |
Lecture 27 Play Video |
Nets Introduction to nets in topological spaces |
Lecture 28 Play Video |
Subnets Subnets and cluster points of nets |
Lecture 29 Play Video |
Net Continuity Continuity in terms of nets |
