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Certificate in Algebraic Topology - Edukite
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Certi cate in Algebraic Topology ( 10 REVIEWS )
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Algebraic Topology is used for nding Algebraic invariants classifying topological spaces up to homeomorphism or homotopy equivalence. By studying , …
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LEVEL 2 - CERTIFICATE COURSE BADGE COURSE CERTIFICATE
24
NUMBER OF UNITS NUMBER OF QUIZZES
0
5 HOURS, 30 MINUTES
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CURRICULUM
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Algebraic Topology is used for nding Algebraic invariants classifying topological spaces up to homeomorphism or homotopy equivalence. By studying Certi cate in Algebraic Topology, you will be able to use algebra to study topological problems and vice versa. This Certi cate in Algebraic Topology will also support you to study problems related to Brouwer Fixed Point Theorem, Knot Theory, Simplicial Complex, CW Complex, The Hurewicz Theorem, vector bundles etc.
Assessment This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of the assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certi cate at a cost of £49. Having an Of cial Edukite Certi cation is a great way to celebrate and share your success. You can: Add the certi cate to your CV or resume and brighten up your career Show it to prove your success Course Credit: MIT
COURSE CURRICULUM https://edukite.org/course/certificate-in-algebraic-topology/
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Certificate in Algebraic Topology - Edukite
Module: 01
Category Theory
00:15:00
Compactly Generated Spaces
00:15:00
Pointed Spaces and Homotopy Groups
00:15:00
Simple Computations, the Action of the Fundamental Groupoid
00:15:00
Co brations, Well Pointedness, Weak Equivalences, Relative Homotopy
00:15:00
Pushouts and Pullbacks, the Homotopy Fiber
00:15:00
Co bers
00:15:00
Module: 02
Puppe Sequences
00:15:00
Fibrations
00:15:00
Hopf Fibrations, Whitehead Theorem
00:15:00
Help! Whitehead Theorem and Cellular Approximation
00:15:00
Homotopy Excision
00:15:00
The Hurewicz Homomorphism
00:15:00
Proof of Hurewicz
00:15:00
00:15:00
Module: 03
Eilenberg-Maclane Spaces
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Certificate in Algebraic Topology - Edukite
Spectral Sequences
00:15:00
The Spectral Sequence of a Filtered Complex
00:15:00
Line Bundles
00:15:00
Induced Maps Between Classifying Spaces, H*(BU(n))
00:15:00
Completion of a Deferred Proof, Whitney Sum, and Chern Classes
00:15:00
Properties of Chern Classes, the Splitting Principle
00:15:00
Chern Classes and Elementary Symmetric Polynomials
00:15:00
Assessment
Submit Your Assignment
00:00:00
Certi cation
00:00:00
COURSE REVIEWS
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Certificate in Algebraic Topology - Edukite
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