2 papers
math.CT2026
Left-exact Localizations of -Topoi III: The Acyclic Product
Mathieu Anel, Georg Biedermann, Eric Finster +1
We define a commutative monoid structure on the poset of left-exact localizations of a higher topos, that we call the acyclic product. Our approach is anchored in a structural anal…
math.AT2026
Left exact monoidal localizations from tidy maps
Mathieu Anel, Georg Biedermann, Eric Finster +1
We put Goodwillie's calculus of functors and Weiss' orthogonal calculus in a unified framework. We do so in two ways. On the one hand, the relevant categories are all symmetric mon…