AlgTop25: More on the fundamental group
26.7 هزار بار بازدید -
13 سال پیش
-
A continuation on the fundamental
A continuation on the fundamental group of a surface, we prove that the multiplication of equivalence classes or types of loops from a base point does indeed form a group in the algebraic sense. We discuss the fundamental group of the torus and the projective plane.
This is part of a beginner's course on Algebraic Topology, given by N J Wildberger of UNSW.
Video Contents:
00:00 More on the fundamental group
01:50 Multiplication
03:04 Theorem
03:50 Proof -Identity & constant loop
08:40 Inverses
16:00 Associativity
20:00 picture examples
30:06 Projective plane
33:56 Problem 26. Describe...
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Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...
My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!
If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at Patreon: njwildberger Your support would be much appreciated.
Here are the Insights into Mathematics Playlists:
MathHistory: A course in the History ...
WildTrig: Intro to Rational Trigonometry
Math Foundations
Wild Linear Algebra
Famous Math Problems
Box Arithmetic
Elementary Mathematics (K-6) Explained
Year9Maths
Ancient Mathematics
Wild West Banking
Sociology and Pure Mathematics
Sociology and Pure Physics
Old Babylonian Mathematics
Probability and Statistics: an introd...
Boole's Logic and Circuit Analysis
Universal Hyperbolic Geometry
Differential Geometry
Algebraic Topology
MathSeminars
Playing Go
Diffusion Symmetry: A bridge between ...
Here are the Wild Egg Maths Playlists (some available only to Members!)
Algebraic Calculus One
Classical to Quantum
Algebraic Calculus Two
Advice for mathematics exploration
Solving Polynomial Equations | Explor...
The Hexagrammum Mysticum (Members only)
Algebraic Calculus and dCB curves | E...
Dynamics on Graphs
Playlist
Triangle Geometry
Explorations with q-series
Six: An elementary course in Pure Mat...
Maxel Inverses and Orthogonal Polynom...
************************
This is part of a beginner's course on Algebraic Topology, given by N J Wildberger of UNSW.
Video Contents:
00:00 More on the fundamental group
01:50 Multiplication
03:04 Theorem
03:50 Proof -Identity & constant loop
08:40 Inverses
16:00 Associativity
20:00 picture examples
30:06 Projective plane
33:56 Problem 26. Describe...
************************
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...
My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!
If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at Patreon: njwildberger Your support would be much appreciated.
Here are the Insights into Mathematics Playlists:
MathHistory: A course in the History ...
WildTrig: Intro to Rational Trigonometry
Math Foundations
Wild Linear Algebra
Famous Math Problems
Box Arithmetic
Elementary Mathematics (K-6) Explained
Year9Maths
Ancient Mathematics
Wild West Banking
Sociology and Pure Mathematics
Sociology and Pure Physics
Old Babylonian Mathematics
Probability and Statistics: an introd...
Boole's Logic and Circuit Analysis
Universal Hyperbolic Geometry
Differential Geometry
Algebraic Topology
MathSeminars
Playing Go
Diffusion Symmetry: A bridge between ...
Here are the Wild Egg Maths Playlists (some available only to Members!)
Algebraic Calculus One
Classical to Quantum
Algebraic Calculus Two
Advice for mathematics exploration
Solving Polynomial Equations | Explor...
The Hexagrammum Mysticum (Members only)
Algebraic Calculus and dCB curves | E...
Dynamics on Graphs
Playlist
Triangle Geometry
Explorations with q-series
Six: An elementary course in Pure Mat...
Maxel Inverses and Orthogonal Polynom...
************************
13 سال پیش
در تاریخ 1390/08/20 منتشر شده
است.
26,779
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