Lecture

Isomorphism in Categories

Description

This lecture introduces the concept of isomorphism in categories, defining a morphism as an isomorphism if it has an inverse. Objects a and b are considered isomorphic if there exists a morphism g: b → a such that gof = Ida and fog = Idb. An automorphism is an isomorphism with equal domain and codomain, while a groupoid consists of categories where all morphisms are isomorphisms. The lecture also covers examples of categories and hints at the next topic: functors.

Instructor

sunt aliqua incididunt cupidatat

Et amet excepteur enim tempor dolor sunt sint do fugiat est amet. Consectetur dolore dolor labore minim. Officia fugiat ea dolor dolor velit quis velit.

Official source

https://mediaspace.epfl.ch/media/0_6323rclx

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

Related lectures (41)

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.