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grossack.site | ||
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jeremykun.wordpress.com
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| | | | | Last time we investigated the (very unintuitive) concept of a topological space as a set of "points" endowed with a description of which subsets are open. Now in order to actually arrive at a discussion of interesting and useful topological spaces, we need to be able to take simple topological spaces and build them up... | |
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terrytao.wordpress.com
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| | | | | Thus far, we have only focused on measure and integration theory in the context of Euclidean spaces $latex {{\bf R}^d}&fg=000000$. Now, we will work in a more abstract and general setting, in w... | |
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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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henko.net
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| | | A selection of functional programming concepts that I feel are helpful to all developers. | ||
