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www.jeremykun.com | ||
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ncatlab.org
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| | | | | [AI summary] The text provides an in-depth overview of (co)ends in enriched category theory, focusing on their definitions, properties, and applications. It begins by introducing (co)ends as generalizations of limits and colimits, emphasizing their role in enriched settings. The discussion includes the formal definitions of ends and coends, their relation to natural transformations, and their use in constructing enriched functor categories. Key examples such as Kan extensions, geometric realization, and tensor products of functors are explored. The text also highlights the importance of (co)ends in various areas, including homological algebra, topology, and category theory, with references to foundational works and modern applications. | |
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thehousecarpenter.wordpress.com
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| | | | | A natural transformation is an operation on a category, or more precisely a family of operations, one for each object in the category, which is preserved by morphisms in the category. Each operation in the family is associated with a specific object $latex A$ in the category, which it is said to be on. The... | |
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justinhj.github.io
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| | | | | IntroductionThis is a companion blog the seventh Functional Justin YouTube videowhich you can find here:https://www.youtube.com/watch?v=B1FSxbmZpCE | |
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www.khanna.law
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| | | You want to train a deep neural network. You have the data. It's labeled and wrangled into a useful format. What do you do now? | ||
