A bornological coarse space is a set equipped with a bornology and a coarse structure that are compatible: controlled thickenings of bounded subsets are bounded.
Here a U-controlled thickening () of a subset of is the projection of onto its first factor.
A morphism of bornological coarse spaces is a map of sets that is controlled (for every we have ) and proper (for every we have ).
Bornological coarse spaces can be used as a site with an interval? to construct motivic coarse spaces.
Homotopy theory with bornological coarse spaces, arXiv:1607.03657.
Last revised on July 15, 2016 at 09:17:35. See the history of this page for a list of all contributions to it.