https://en.wikipedia.org/wiki/Free_category
In mathematics, the free category or path category generated by a directed graph or quiver is the category that results from freely concatenating arrows ...See more
https://ncatlab.org/nlab/show/free+category
Apr 28, 2023 — The free category on a “set of arrows”, hence on a directed graph, is the (strict) category whose morphisms are the tuples of composable edges.See more
https://math.stackexchange.com/questions/277062/what-is-the-free-category-on-the-underlying-graph-of-a-category
Jan 13, 2013 — The free category on the empty graph is the empty category; but as soon as there are two composable arrows then the free category is different.See more
https://math.libretexts.org/Bookshelves/Applied_Mathematics/Seven_Sketches_in_Compositionality%3A_An_Invitation_to_Applied_Category_Theory_(Fong_and_Spivak)/03%3A_Databases-_Categories_functors_and_(co)limits/3.02%3A_Categories
Jul 17, 2022 — For any graph G = (V, A, s, t), we can define a category Free(G), called the free category on G, whose objects are the vertices V and whose ...See more
https://en.wiktionary.org/wiki/free_category
free category (plural free categories). (category theory) A category that is induced by a multidigraph thus: it has as its objects the vertices of the ...See more
https://mathoverflow.net/questions/121739/free-product-of-categories
Feb 13, 2013 — The free product of categories should be to the free category on a quiver as the free product of monoids is to the free monoid on a set.See more
http://boole.stanford.edu/cs353/handouts/book4.pdf
The section on examples of categories included the free category F(G) on a graph G. This defines the object part of a functor F : Grph → Cat taking graphs ...See more
https://hackage.haskell.org/package/free-category
Jun 4, 2023 — This package provides various data types for free categories, type aligned queues, arrows and type classes which allow to write abstract categories with side ...Se
https://www.sciencedirect.com/science/article/pii/S0022404901000494
by R Dawson · 2002 · Cited by 26 — We give a geometric description of the free double category generated by a double reflexive graph. Its cells are homotopy classes of colourin
https://www.facebook.com/marketplace/category/free/
Free Stuff in your area on Facebook Marketplace. Browse or sell your items for free.
https://en.wikipedia.org/wiki/Free_object
List of free objects · free algebra · free category · free group · free Kleene algebra · free lattice · free Lie algebra · free magma · free module ...
https://arxiv.org/abs/1609.06599
by K Habiro · 2016 · Cited by 9 — It is well known that the opposite F^{op} of the category F of finitely generated free groups is a Lawvere theory for groups.
https://ncatlab.org/nlab/show/free+cartesian+category
Jun 5, 2022 — In this article, we explore cartesian monoidal categories as a doctrine on Cat, by analyzing the structure of free cartesian categories.
https://groups.google.com/g/sci.math.research/c/IV1bq01sSrg
Dec 16, 1998 — left adjoint of this sends each graph to the free category on that graph. ... construction along the lines you mention. Of course there are ...
https://www.reddit.com/r/programming/comments/5lksym/basic_category_theory_free_online/
Category theory generalises composition, which is often handy, but for the most part we can merely use the tools and results that others have ...
https://www.aapa.org/education/
Earn up to 175+ credits of AAPA Category 1 CME from the world's largest PA conference. This video-based course includes topics such as behavioral and mental ...
https://1lab.dev/Cat.Instances.Free.html
A formalised, explorable online resource for Homotopy Type Theory.
https://arxiv.org/abs/2204.02284
by T Fritz · 2022 · Cited by 37 — We construct free gs-monoidal and free Markov categories generated by a collection of morphisms of arbitrary arity and coarity.
https://ui.adsabs.harvard.edu/abs/arXiv:2201.07527
Abstract. We construct a compact closed category out of any symmetric monoidal category by freely adding adjoints to its objects.
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