88 citations · 489 across the 34 of their papers we have counts for
5 papers · 1 filter
Pyknotic objects, I. Basic notions
Clark Barwick, Peter Haine
Pyknotic objects are (hyper)sheaves on the site of compacta. These provide a convenient way to do algebra and homotopy theory with additional topological information present. This…
Exodromy for stacks
Clark Barwick, Peter Haine
In this short note we extend the Exodromy Theorem of arXiv:1807.03281 to a large class of stacks and higher stacks. We accomplish this by extending the Galois category construction…
A comment on the vanishing of rational motivic Borel-Moore homology
Clark Barwick, Denis Nardin
This note concerns a weak form of Parshin's conjecture, which states that the rational motivic Borel--Moore homology of a quasiprojective variety of dimension over a finite fie…
On Galois categories and perfectly reduced schemes
Clark Barwick
It turns out that one can read off facts about schemes up to universal homeomorphism from their Galois categories. Here we propose a first modest slate of entries in a dictionary b…
Topological rigidification of schemes
C. Barwick
We show that any of a large class of schemes receives a universal homeomorphism from a reduced scheme that in turn receives no nontrivial universal homeomorphism from any other red…