Course

MATH-506: Topology IV.b - cohomology rings

Summary

Singular cohomology is defined by dualizing the singular chain complex for spaces. We will study its basic properties, see how it acquires a multiplicative structure and becomes a graded commutative algebra. We study an algebraic version, namely group cohomology, and compare both approaches.

Official source

https://edu.epfl.ch/coursebook/en/topology-iv-b-cohomology-rings-MATH-506

Moodle Page

http://go.epfl.ch/MATH-506

About this result

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Representation theory, Linear algebra

Topology: Algebraic topology

Education

Educational stages: Higher education

Instructor

Lectures in this course (14)

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