16 citations · 18 across the 4 of their papers we have counts for
5 papers
Localization, monoid sets and K-theory
Ian Coley, Charles Weibel
We develop the K-theory of sets with an action of a pointed monoid (or monoid scheme), analogous to the -theory of modules over a ring (or scheme). In order to form localization…
Message Passing Networks for Molecules with Tetrahedral Chirality
Lagnajit Pattanaik, Octavian-Eugen Ganea, Ian Coley +3
Molecules with identical graph connectivity can exhibit different physical and biological properties if they exhibit stereochemistry-a spatial structural characteristic. However, m…
The theory of half derivators
Ian Coley
We review the theory of derivators from the ground up, defining new classes of derivators which were originally motivated by derivator K-theory. We prove that many old arguments th…
The K-theory of left pointed derivators
Ian Coley
We build on work of Muro-Raptis in [Ann. K-Theory 2 (2017), no. 2, 303-340] and Cisinski-Neeman in [Adv. Math. 217 (2008), no. 4, 1381-1475] to prove that the additivity of derivat…
Stabilization of derivators revisited
Ian Coley
We revisit and improve Alex Heller's results on the stabilization of derivators in Stable Homotopy Theories and Stabilization (J Pure Appl Algebra, 115(2):113-130, 1997), recoverin…