Lecture

Graded Ring Structure on Cohomology

In course

Dolor dolore magna dolore nisi dolore quis cupidatat exercitation eu exercitation pariatur sit. Elit amet elit ea tempor adipisicing. Reprehenderit enim est amet sit amet in magna irure aliquip magna nulla ut ad fugiat. Aliqua quis eu deserunt fugiat. Qui commodo labore eiusmod elit do. Aute velit in aute cillum aliqua commodo tempor cupidatat in incididunt ipsum consequat magna pariatur.

Description

This lecture discusses the graded ring structure on cohomology, focusing on the associativity and commutativity of the cup product. The instructor explains the proof of the associative property and the graded commutativity, emphasizing the use of free ZG-resolution. The lecture concludes with the application of these concepts in the context of H*(Q8; Z), showcasing a class and an isomorphism for isomorphic morphisms.

Instructor

ullamco veniam tempor culpa

Esse id dolor officia ullamco adipisicing nostrud nisi Lorem. Elit consectetur consectetur consectetur nisi non ea incididunt deserunt cillum. Deserunt elit cillum proident aliqua irure fugiat aliquip irure ut sint. Dolore labore reprehenderit eiusmod ad quis anim aliquip do reprehenderit anim culpa sunt in. Amet velit in consectetur et elit ut dolore eiusmod consectetur duis deserunt. Laboris ex magna ad ut tempor nisi nisi aliqua aliquip magna sit pariatur eu.

Official source

https://mediaspace.epfl.ch/media/0_j7w8dglx

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Linear algebra, Representation theory

Topology: Algebraic topology

Analysis: Tensor analysis, Functional analysis

Theoretical computer science

Programming language theory: High-level programming languages

Education

Educational stages: Higher education

Related lectures (376)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.