Lecture

Limits and Colimits: Understanding Categories

Description

This lecture delves into the concepts of limits and colimits in category theory, exploring their definitions, properties, and applications. The instructor discusses the non-existence of limits in certain categories and the completion of categories by adding missing limits. Theoretical considerations on the duality of limits and colimits are also covered, along with the relationships between limits and colimits under functors. Special cases, such as the empty category and specific functors, are analyzed to provide a comprehensive understanding of these fundamental concepts.

This video is available exclusively on Mediaspace for a restricted audience. Please log in to MediaSpace to access it if you have the necessary permissions.

Watch on Mediaspace
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.

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.