Certificate in Algebraic Topology - Edukite

9/26/2019

Certificate in Algebraic Topology - Edukite

HOME / COURSE / MATHEMATICS / CERTIFICATE IN ALGEBRAIC TOPOLOGY

Certi cate in Algebraic Topology ( 10 REVIEWS ) 

1027 STUDENTS

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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HOME

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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 https://edukite.org/course/certificate-in-algebraic-topology/

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Certificate in Algebraic Topology - Edukite

Module: 01

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Category Theory

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00:15:00

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Compactly Generated Spaces

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00:15:00

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Pointed Spaces and Homotopy Groups

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00:15:00

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Simple Computations, the Action of the Fundamental Groupoid

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00:15:00

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Co brations, Well Pointedness, Weak Equivalences, Relative Homotopy

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00:15:00

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Pushouts and Pullbacks, the Homotopy Fiber

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00:15:00

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Co bers

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00:15:00

Module: 02

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Puppe Sequences

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00:15:00

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Fibrations

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00:15:00

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Hopf Fibrations, Whitehead Theorem

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00:15:00

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Help! Whitehead Theorem and Cellular Approximation

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00:15:00

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Homotopy Excision

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00:15:00

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The Hurewicz Homomorphism

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00:15:00

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Proof of Hurewicz

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00:15:00

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00:15:00

Module: 03

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Eilenberg-Maclane Spaces

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Certificate in Algebraic Topology - Edukite

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Spectral Sequences

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00:15:00

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The Spectral Sequence of a Filtered Complex

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00:15:00

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Line Bundles

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00:15:00

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Induced Maps Between Classifying Spaces, H*(BU(n))

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00:15:00

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Completion of a Deferred Proof, Whitney Sum, and Chern Classes

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00:15:00

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Properties of Chern Classes, the Splitting Principle

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00:15:00

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Chern Classes and Elementary Symmetric Polynomials

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00:15:00

Assessment

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Submit Your Assignment

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00:00:00

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Certi cation

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00:00:00

COURSE REVIEWS

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