6 papers
A Parameterized Algorithm for Testing whether the Limit of a Diagram is Empty
Ernst Althaus, Benjamin Merlin Bumpus, James Fairbanks +2
A limit of a (small) diagram in a complete category can be thought of as specifying a set of equations involving the objects of . To motivate this intuitively,…
Thomason-Type Model Structures on Simplicial Complexes and Graphs
Emilio Minichiello
In this paper we show that the Matsushita model structure on loop graphs, which is right-transferred from the Kan-Quillen model structure on simplicial sets, factors through two ot…
Hypercovers in Differential Geometry
Cheyne Glass, Emilio Minichiello
In this paper we provide a simple proof that for several sites of interest in differential geometry, the local projective model structure and the Äech projective model structure a…
Coverages and Grothendieck Toposes
Emilio Minichiello
These notes detail the basics of the theory of Grothendieck toposes from the viewpoint of coverages. Typically one defines a site as a (small) category equipped with a Grothendieck…
Presenting Profunctors
Gabriel Goren-Roig, Joshua Meyers, Emilio Minichiello
Motivated by problems in categorical database theory, we introduce and compare two notions of presentation for profunctors, uncurried and curried, which arise intuitively from thin…
A Mathematical Model of Package Management Systems
Gershom Bazerman, Emilio Minichiello, Raymond Puzio
This paper brings mathematical tools to bear on the study of package dependencies in software systems. We introduce structures known as Dependency Structures with Choice (DSC) that…