#quasigroups — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #quasigroups, aggregated by home.social.
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I have a new #icanhazpdf request!
I have an ongoing project (https://arxiv.org/abs/2110.05660) on the construction of manifolds from quasigroups and I believe that the book "Finite embedding theorems for partial designs and algebras" by Curt Lindner and Trevor Evans (MR0460213) may be helpful to me. I was wondering if anyone knows where I could obtain a copy, as it seems to be out of print.
Ideally, I would like to buy my own physical copy from someone, or even better obtain a pdf of the whole book.
I have tried many of the usual places online, as well as asking the #UniversalAlgebra Google group, to no avail. I still need to try using the access to #Cambridge Core which I now have as a member of the Association for Symbolic #Logic. Ironically, I am in Cambridge right now, but my credentials for this are back in Colorado and I don't remember them. I'm not sure how likely it is that they'll transfer an entire book to me digitally, though.
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The new version of my paper with Semin Yoo, "Orientable triangulable manifolds are essentially quasigroups" is now available on arXiv! You can find the preprint at https://arxiv.org/abs/2110.05660 and you can find some videos of me talking about it on my YouTube channel (https://www.youtube.com/channel/UCT0qXiThOxzbCO36U-iXNTQ).
In addition to new images which illustrate our constructions we also have filled a gap in the proof of the main theorem. In order to show that all orientable triangulable manifolds could be created from an \(n\)-ary quasigroup by our construction, we needed to make an appropriate \(n\)-quasigroup for each manifold. What we actually did in the original paper was give a presentation of such an algebraic structure, which is not quite enough to prove the desired result. This new version contains an explicit description of such an \(n\)-quasigroup.
You can look forward to hearing more from me on connections between #quasigroups and #topology in the future!