The magnitude of a metric space: from category theory to geometric measure theory — mentioned by tutfbhuf

Sun, 23 Jul 2023 16:42:02 GMT

This presentation is getting into the idea of "magnitude" the invariant from category theory and how it can be used in mathematical ecology, especially when we're trying to max out diversity. It's put forward as a possible answer to a head-scratcher in mathematical ecology: How do we find the maximum diversity if we're given a list of n species and a similarity matrix? The presentation gives us a whole range of views on biodiversity, making it clear that we need to think about both common and rare species when we're figuring out diversity. It hints that this magnitude idea might give us a…

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The magnitude of a metric space: from category theory to geometric measure theory · HackerPapers discussions

The magnitude of a metric space: from category theory to geometric measure theory — mentioned by tutfbhuf