Topology

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Finished
Link
https://www.youtube.com/playlist?list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
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Status
To Learn
Tags
The Math Sorcerer
Total Videos
33
Video Duration
03:20:40
Videos
Title
Tags
Finished
Total Videos
Status
Video Duration
Note
Link
026 - The Direct Image of a Compact Set Under a Continuous Function is Compact Proof
The Math Sorcerer
Finished
1
To Learn
00:06:42
https://www.youtube.com/watch?v=jtaBFbjNO1w&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
011 - The Derived Set of any set in the Discrete Topology is Empty Proof
The Math Sorcerer
Finished
1
To Learn
00:03:06
https://www.youtube.com/watch?v=hSkNWUwV0vA&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
030 - Topology Proof The Constant Function is Continuous
The Math Sorcerer
Finished
1
To Learn
00:06:05
https://www.youtube.com/watch?v=jOG7C17DMms&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
005 - The Intersection of Topologies on X is a Topology on X Proof
The Math Sorcerer
Finished
1
To Learn
00:04:54
https://www.youtube.com/watch?v=D_yWD8WirGk&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
016 - Examples of Open Sets in the Standard Topology on the set of Real Numbers
The Math Sorcerer
Finished
1
To Learn
00:09:41
https://www.youtube.com/watch?v=Twer-uyP174&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
028 - How to Prove a Function is Not an Open Function
The Math Sorcerer
Finished
1
To Learn
00:03:25
https://www.youtube.com/watch?v=B4yGJhT78lA&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
022 - The Union of Two Compact Subsets is Compact Proof
The Math Sorcerer
Finished
1
To Learn
00:05:40
https://www.youtube.com/watch?v=hAlZdveAfZs&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
009 - Finding the Interior, Exterior, and Boundary of a Set Topology
The Math Sorcerer
Finished
1
To Learn
00:05:28
https://www.youtube.com/watch?v=Knur17bP6X0&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
008 - How to Find the Limit Points and Derived Set of a Subset in a Topology
The Math Sorcerer
Finished
1
To Learn
00:05:56
https://www.youtube.com/watch?v=gRhAJ5dDql8&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
007 - Finding Limit Points and the Derived Set in a Topological Space
The Math Sorcerer
Finished
1
To Learn
00:05:09
https://www.youtube.com/watch?v=l-P6gE1WPDA&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
024 - Every Subset of the Discrete Topology has No Limit Points Proof
The Math Sorcerer
Finished
1
To Learn
00:04:07
https://www.youtube.com/watch?v=vYPVINBCh-8&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
010 - Finding Closed Sets, the Closure of a Set, and Dense Subsets Topology
The Math Sorcerer
Finished
1
To Learn
00:05:19
https://www.youtube.com/watch?v=ktU3RBvn1jY&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
032 - An Example of a Closed Continuous Function that is Not Open
The Math Sorcerer
Finished
1
To Learn
00:05:03
https://www.youtube.com/watch?v=xl-cBf1mmZU&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
027 - Infinite Intersection of Open Sets that is Closed Proof
The Math Sorcerer
Finished
1
To Learn
00:03:21
https://www.youtube.com/watch?v=dpLGth1AEPM&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
003 - Determine if T is a Topology on X
The Math Sorcerer
Finished
1
To Learn
00:03:37
https://www.youtube.com/watch?v=AgIibPYZD_c&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
017 - How to Prove that the Interval (a, b] is Not an Open Set
The Math Sorcerer
Finished
1
To Learn
00:04:54
https://www.youtube.com/watch?v=aAYMxtLjNc0&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
021 - Every Closed Subset of a Compact Space is Compact Proof
The Math Sorcerer
Finished
1
To Learn
00:05:45
https://www.youtube.com/watch?v=-gnWT1Wfsd8&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
002 - Definition of a Topological Space
The Math Sorcerer
Finished
1
To Learn
00:06:20
https://www.youtube.com/watch?v=qKz7DRBAkKU&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
019 - Proof that the Intersection of any Finite Family of Open Sets in the Standard Topology on R is Open
The Math Sorcerer
Finished
1
To Learn
00:08:02
https://www.youtube.com/watch?v=LUlPknpNvEo&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
018 - Proof that the Union of any Family of Open Sets in the Standard Topology on R is Open
The Math Sorcerer
Finished
1
To Learn
00:04:20
https://www.youtube.com/watch?v=rv-EKaHef0Q&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
029 - A Function is Continuous iff The Preimage of a Set in the Codomain is open in the Domain Topology
The Math Sorcerer
Finished
1
To Learn
00:08:47
https://www.youtube.com/watch?v=seyGnm56zfw&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
025 - A Set is Closed if and only if it contains all of it's Limit Points
The Math Sorcerer
Finished
1
To Learn
00:08:19
https://www.youtube.com/watch?v=s3RivlVlvyU&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
033 - Introduction to Metric Spaces
The Math Sorcerer
Finished
1
To Learn
00:11:34
https://www.youtube.com/watch?v=4lthpDkhMoU&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
014 - The Discrete Metric is a Metric Proof
The Math Sorcerer
Finished
1
To Learn
00:05:39
https://www.youtube.com/watch?v=5WLIn2Ls3QE&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
020 - Every Mapping into The Trivial Topology is Continuous
The Math Sorcerer
Finished
1
To Learn
00:07:09
https://www.youtube.com/watch?v=_IjKqJrqDBM&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
015 - Introduction to the Standard Topology on the Set of Real Numbers R
The Math Sorcerer
Finished
1
To Learn
00:06:46
https://www.youtube.com/watch?v=T_lhC8B2KP4&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
023 - Every Set with the Cofinite Topology is Compact
The Math Sorcerer
Finished
1
To Learn
00:05:28
https://www.youtube.com/watch?v=b9_E9UuUtB8&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
031 - Topology Proof The Composition of Continuous Functions is Continuous
The Math Sorcerer
Finished
1
To Learn
00:08:46
https://www.youtube.com/watch?v=Mad80mZgzzY&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
013 - Finding the Subspace Topology Easy Example
The Math Sorcerer
Finished
1
To Learn
00:02:07
https://www.youtube.com/watch?v=jvqtwdEMzNA&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
006 - Two Topologies on X whose Union is not a Topology on X
The Math Sorcerer
Finished
1
To Learn
00:02:24
https://www.youtube.com/watch?v=HRkbas_h14o&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
012 - The Subspace Topology is a Topology Proof
The Math Sorcerer
Finished
1
To Learn
00:06:29
https://www.youtube.com/watch?v=cPgBbRFUGBg&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
004 - How to Prove a Set Forms a Topology
The Math Sorcerer
Finished
1
To Learn
00:07:28
https://www.youtube.com/watch?v=G75vCphWKiI&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
001 - Introduction to Topology with Examples
The Math Sorcerer
Finished
1
To Learn
00:12:50
https://www.youtube.com/watch?v=Q_1dmoUhYBo&list=PLO1y6V1SXjjPd3jP-k3Ed23pn3FTPHymw&type=snipo
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