Kátay Tamás: Generic properties of countably infinite groups

Group operations on a fixed countably infinite universe, say ℕ, form a complete metric space (with the topology inherited from ). Thus we can view group properties as isomorphism-invariant subsets of , and it makes sense to ask: what properties are generic (in the sense of Baire category)?

In my talk, I will address this question and if time permits, I may also say a few words about generic properties of compact groups.

The zoom link to the talk is:

https://us06web.zoom.us/j/83312342576?pwd=muM3vzOQ4nIezupfbcmNRI28855u9x.1