Geometric realization: Simplicial sets

In course

Et ex sit esse minim mollit nostrud eiusmod. Enim et velit voluptate laboris culpa fugiat duis. Lorem voluptate adipisicing deserunt sunt sunt enim aliqua ut aute consectetur proident dolor dolore.

Description

This lecture covers the construction of a left adjoint to the singular set functor, comparing the homotopy theory of topological spaces with that of simplicial sets. It explains the process step by step, illustrating the geometric realization of standard simplicial n-simplices.

Instructor

Aute nulla duis esse anim. Tempor irure in qui aliqua fugiat amet deserunt irure ex voluptate dolore. Id mollit et aliquip mollit elit. Mollit sunt duis quis pariatur excepteur elit sunt ad non aliqua. Cupidatat enim minim adipisicing laboris. Aute esse mollit laboris duis labore irure labore sunt laboris dolor duis voluptate.

Official source

https://mediaspace.epfl.ch/media/0_o58km1r0

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

Topology: Algebraic topology

Algebra: Abstract algebra

Related lectures (35)