Tootfinder

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Computing Projective Implicit Representations from Poset Towers
Tamal K. Dey, Florian Russold
https://arxiv.org/abs/2505.08755 https://mastoxiv.page/@arXiv_mathAT_bot/114504985721296525
- Function-Rips complexes in persistent homotopy theory: Stability and persistent Latschev theorems
Steve Oudot, Lukas Waas
https://arxiv.org/abs/2603.23460 https://mastoxiv.page/@arXiv_mathAT_bot/116288736270132154
- Tangent $\infty$-categories and Goodwillie calculus
Kristine Bauer, Matthew Burke, Michael Ching
https://arxiv.org/abs/2101.07819
- Left-exact Localizations of $\infty$-Topoi III: The Acyclic Product
Mathieu Anel, Georg Biedermann, Eric Finster, Andr\'e Joyal
https://arxiv.org/abs/2308.15573 https://mastoxiv.page/@arXiv_mathCT_bot/110982381321460663
- 2-dimensional Lawvere theories, commutativity, and higher Day convolution
Tom\'a\v{s} Perutka
https://arxiv.org/abs/2602.14332 https://mastoxiv.page/@arXiv_mathCT_bot/116085078820887632
- Generalized inverse diagrams in tribes
El Mehdi Cherradi
https://arxiv.org/abs/2602.17355 https://mastoxiv.page/@arXiv_mathCT_bot/116102274845210395
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Left exact monoidal localizations from tidy maps
Mathieu Anel, Georg Biedermann, Eric Finster, Andr\'e Joyal
https://arxiv.org/abs/2606.04263 https://arxiv.org/pdf/2606.04263 https://arxiv.org/html/2606.04263
arXiv:2606.04263v1 Announce Type: new
Abstract: 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 monoidal and controlled by their compact objects. We introduce the notion of tidy map as a means to generate symmetric monoidal localizations in this setting. These localizations are always left exact. Then we show that both the Goodwillie and Weiss towers are generated by such maps. On the other hand, the relevant categories are also topoi, for which there is a general theory of completion towers of left exact localizations. We had shown in a previous work that the Goodwillie tower is an instance a such a tower. We show here that the Weiss tower is a completion tower as well, and therefore that the general theory applies to orthogonal calculus.
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