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A blog mostly on math, physics, and computer science.
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Derek Elkins
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2026-03-01 09:25:52
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Home Home About Contact Reading List Archive RSS Atom Hedonistic Learning Learning for the fun of it Morleyization Introduction Morleyization is a fairly important operation in categorical logic for which it is hard to find readily accessible references to a statement and proof. Most refer to D1.5.13 of “Sketches of an Elephant” which is not an accessible text. 3.2.8 of “Accessible Categories” by Makkai and Paré is another reference, and “Accessible Categories” is more accessible but still a big ask for just a single theorem. Here I reproduce the statement and proof from “Accessible Categories” albeit with some notational and conceptual adaptations as well as some commentary. This assumes some basic familiarity with the ideas and notions of traditional model theory, e.g. what structures, models, and |\vDash| are. Read more... July 19, 2024 02:35 UTC (Last updated on July 27, 2024 02:40 UTC) Tags: math , categor...
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