Algebraic & Geometric Topology Volume 25, issue 9 (2025)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Envelopes for algebraic patterns

Shaul Barkan, Rune Haugseng and Jan Steinebrunner

Algebraic & Geometric Topology 25 (2025) 5319–5388

DOI: 10.2140/agt.2025.25.5319

Bibliography

1	D Ayala, J Francis, A Mazel-Gee, N Rozenblyum, Factorization homology of enriched ∞-categories, preprint (2017) arXiv:1710.06414
2	S Barkan, Arity approximation of ∞-operads, preprint (2022) arXiv:2207.07200
3	C Barwick, Spectral Mackey functors and equivariant algebraic K-theory, I, Adv. Math. 304 (2017) 646 MR3558219
4	C Barwick, From operator categories to higher operads, Geom. Topol. 22 (2018) 1893 MR3784514
5	C Berger, Iterated wreath product of the simplex category and iterated loop spaces, Adv. Math. 213 (2007) 230 MR2331244
6	A J Blumberg, M A Hill, Incomplete Tambara functors, Algebr. Geom. Topol. 18 (2018) 723 MR3773736
7	H Chu, R Haugseng, Homotopy-coherent algebra via Segal conditions, Adv. Math. 385 (2021) 107733 MR4256131
8	H Chu, R Haugseng, Free algebras through Day convolution, Algebr. Geom. Topol. 22 (2022) 3401 MR4545922
9	D Clausen, A Mathew, N Naumann, J Noel, Descent and vanishing in chromatic algebraic K-theory via group actions, Ann. Sci. Éc. Norm. Supér. 57 (2024) 1135 MR4773302
10	D Gaitsgory, N Rozenblyum, A study in derived algebraic geometry, I : Correspondences and duality, 221, Amer. Math. Soc. (2017) MR3701352
11	D Gepner, R Haugseng, Enriched ∞-categories via non-symmetric ∞-operads, Adv. Math. 279 (2015) 575 MR3345192
12	P Hackney, Categories of graphs for operadic structures, Math. Proc. Cambridge Philos. Soc. 176 (2024) 155 MR4680484
13	P Hackney, M Robertson, D Yau, A graphical category for higher modular operads, Adv. Math. 365 (2020) 107044 MR4064770
14	Y Harpaz, Ambidexterity and the universality of finite spans, Proc. Lond. Math. Soc. 121 (2020) 1121 MR4133704
15	R Haugseng, The higher Morita category of 𝔼_n-algebras, Geom. Topol. 21 (2017) 1631 MR3650080
16	R Haugseng, On the equivalence between Θ_n-spaces and iterated Segal spaces, Proc. Amer. Math. Soc. 146 (2018) 1401 MR3754328
17	R Haugseng, F Hebestreit, S Linskens, J Nuiten, Lax monoidal adjunctions, two-variable fibrations and the calculus of mates, Proc. Lond. Math. Soc. 127 (2023) 889 MR4655344
18	R Haugseng, F Hebestreit, S Linskens, J Nuiten, Two-variable fibrations, factorisation systems and ∞-categories of spans, Forum Math. Sigma 11 (2023) MR4676218
19	R Haugseng, J Kock, ∞-operads as symmetric monoidal ∞-categories, Publ. Mat. 68 (2024) 111 MR4682726
20	H Heine, An equivalence between enriched ∞-categories and ∞-categories with weak action, Adv. Math. 417 (2023) 108941 MR4554672
21	V Hinich, Yoneda lemma for enriched ∞-categories, Adv. Math. 367 (2020) 107129 MR4080581
22	J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
23	J Lurie, Higher algebra, book project (2017)
24	J Lurie, Kerodon, online resource (2018)
25	D Nardin, Parametrized higher category theory and higher algebra, IV : Stability with respect to an orbital ∞-category, preprint (2016) arXiv:1608.07704
26	D Nardin, J Shah, Parametrized and equivariant higher algebra, preprint (2022) arXiv:2203.00072
27	C Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc. 353 (2001) 973 MR1804411
28	C Rezk, A Cartesian presentation of weak n-categories, Geom. Topol. 14 (2010) 521 MR2578310
29	E Riehl, D Verity, Elements of ∞-category theory, 194, Cambridge Univ. Press (2022) MR4354541
30	G Segal, Categories and cohomology theories, Topology 13 (1974) 293 MR353298
31	J Shah, Parametrized higher category theory, II: Universal constructions, preprint (2021) arXiv:2109.11954