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Peiyuan Zhu (Nov 29 2022 at 18:11):Is there any latest development about point-free geometry of Whitehead? https://en.wikipedia.org/wiki/Whitehead%27s_point-free_geometry
What kind of stability notion is used here if we're talking about spacetime if not the curvature?
Peiyuan Zhu (Nov 29 2022 at 18:12):Is there any category-theoretic implication of Whitehead's method of extension?
Morgan Rogers (he/him) (Nov 30 2022 at 06:40):Mereology is studied by logicians; there was a talk on it at the last TACL conference. I'm not aware of ongoing serious attempts to use this as a foundation for geometry in physics (such as attempting to define curvature in this context), but the person who gave that talk might be able to answer your questions.