Algebraic Topology is used for finding Algebraic invariants classifying topological spaces up to homeomorphism or homotopy equivalence. By studying Certificate in Algebraic Topology, you will be able to use algebra to study topological problems and vice versa. See More: https://bit.ly/2lAomVG

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Certi cate in Algebraic Topology
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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
24NUMBER OF UNITS
0NUMBER OF QUIZZES
5 HOURS, 30 MINUTES
HOME CURRICULUM REVIEWS
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

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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
Module: 03
Eilenberg-Maclane Spaces 00:15:00

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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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