Lecture

Cross Product in Cohomology

In course

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Description

This lecture covers the cross product in cohomology, discussing the isomorphism in all degrees, the universal coefficients theorem, and the compatibility of cross products. It explores the associative and commutative properties of the cross product, its naturalness, and its applications in homotopy. The lecture also delves into the behavior of generators and the graded sense of the cross product, providing examples and proofs to illustrate the concepts.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_gmu2akhy

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Category theory

Topology: Algebraic topology

Analysis: Tensor analysis, Functional analysis

Theoretical computer science

Programming language theory: High-level programming languages

Logic

Classical logic: First-order logic

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