++ Video is visually appealing, compact (28'). Tries to present the question of finiteness || infiniteness of Universe within the context of relativistic #cosmology. Intros to 2D #topology + #curvature are fair. Publicity for my group's research is nice :).
The relation to 3D topo+curv is absent; there are several bloopers in the narration.
I remember one time I ...found a book w/ pdf.
It was about displaying dynamical systems theory, showing manifolds and so on.
Plots were not made with any programming language, they were actual drawings, pastels, watercolors.
It's the type of book I literally have dreams about, but I think this one exists😅 what was it?
Our redesign for https://topology.pi-base.org finally launched! If you might be teaching #topology someday, I'd love to chat about ways to use it in your #classroom. And we're always looking for students and faculty who want to contribute to its content...
For #ArtAdventCalendar Day 13: Happy birthday to #mathematician Virginia Ragsdale (1870-1945). The Ragsdale conjecture, made in her 1906 dissertation, is amongst the earliest and most famous on the #topology of real & algebraic curves, which stimulated a lot of 20th century research & was not disproved until ‘79. A correct upper bound has yet to be found. In her dissertation she tackles the 16th of David Hilbert’s famous 23 unsolved 🧵1/n
Wie fängt eine #Mathematikerin einen #Löwen?
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Ganz einfach: Sie besorgt sich einen Käfig, bringt ihn in den Düppeler Forst, setzt sich hinein, verschließt die Tür und definiert:
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!