### Magnitude Homology of Enriched Categories and Metric Spaces

#### Posted by Tom Leinster

Mike Shulman and I have just arXived the final, journal version of our paper Magnitude homology of enriched categories and metric spaces, to appear in *Algebraic & Geometric Topology*.

The first arXiv version appeared in 2017. There are now quite a few papers on magnitude homology of metric spaces that build on it (and therefore, ultimately, on Richard Hepworth and Simon Willerton’s very provocative work on magnitude homology of graphs).

However, that first version was more complicated than it really needed to be. We were lucky to get an extremely helpful referee, who prodded us into simplifying it. I think it’s now much more accessible and widely readable.

There’s been loads already on this blog about magnitude homology, so I won’t write more now. Enjoy!

Posted at November 17, 2020 10:45 AM UTC