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Those who attended SYCO6 in the UK last December or the Topics in Category Theory School in Edinburgh this March probably saw me talk about my joint work with @Jens Hemelaer on properties of monoids as invariants of their toposes of right actions. A preprint of that work is finally online, here. Both of us would be happy to discuss and answer questions about it :blush:
Morgan Rogers said:
The above link is broken for me, so here is the arXiv url: https://arxiv.org/abs/2004.10513