From d100150595d48dae2e6430ab3a989c801169a8e2 Mon Sep 17 00:00:00 2001 From: Fabian Beuke Date: Sat, 24 Feb 2024 18:49:59 +0100 Subject: [PATCH] V-localizations and V-triples --- README.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/README.md b/README.md index f696b2a..138d111 100644 --- a/README.md +++ b/README.md @@ -36,6 +36,9 @@ A curated list of awesome Category Theory resources. * [Limit Monads in Categories](https://github.com/CategoryTheoryArchive/archive/blob/main/resources/1967_kock_limit-monads.pdf) - The work introduces the notion that the category of complete categories is monadic over the category of all categories, utilizing a family of monads associated with various index categories to define "completeness." A significant portion of the thesis is dedicated to defining associative and regular associative colimits, arguing for their naturalness and importance in category theory. Dissertation by Anders Jungersen Kock (1967) * [On the concreteness of certain categories](https://github.com/CategoryTheoryArchive/archive/blob/main/resources/1969_freyd_concreteness-certain.pdf) - This work discusses the concept of concreteness in categories, stating that a concrete category is one with a faithful functor to the category of sets, and must be locally-small. He highlights the homotopy category of spaces as a prime example of a non-concrete category, emphasizing its abstract nature due to the irrelevance of individual points within spaces and the inability to distinguish non-homotopic maps through any functor into concrete categories. Peter Freyd (1969) + + * [V-localizations and V-triples](https://github.com/CategoryTheoryArchive/archive/blob/main/resources/1970_wolff_v-localizations-v-triples.pdf) This work focuses on two primary objectives within category theory. The first goal is to define and study Y-localizations of Y-categories, using a model akin to localizations in ordinary categories, involving certain conditions related to isomorphisms and the existence of unique Y-functors. The second aim is to explore the relationship between Y-localizations and V-triples, presenting foundational theories and examples to elucidate these concepts. Harvey Eli Wolff's dissertation (1970) + ## Articles #### Bayesian/Causal inference