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Simplicial model structures on pro-categories

Thomas Blom and Ieke Moerdijk

Algebraic & Geometric Topology 23 (2023) 3849–3908
Bibliography
1 D W Anderson, Fibrations and geometric realizations, Bull. Amer. Math. Soc. 84 (1978) 765 MR0500935
2 M Artin, B Mazur, Etale homotopy, 100, Springer (1969) MR0245577
3 I Barnea, The two out of three property in ind-categories and a convenient model category of spaces, Theory Appl. Categ. 32 (2017) 620 MR3649191
4 I Barnea, Y Harpaz, G Horel, Pro-categories in homotopy theory, Algebr. Geom. Topol. 17 (2017) 567 MR3604386
5 I Barnea, T M Schlank, A new model for pro-categories, J. Pure Appl. Algebra 219 (2015) 1175 MR3282132
6 I Barnea, T M Schlank, From weak cofibration categories to model categories, preprint (2016) arXiv:1610.08068
7 I Barnea, T M Schlank, A projective model structure on pro-simplicial sheaves, and the relative étale homotopy type, Adv. Math. 291 (2016) 784 MR3459031
8 C Barwick, S Glasman, P Haine, Exodromy, preprint (2018) arXiv:1807.03281
9 T Blom, I Moerdijk, Profinite –operads, Adv. Math. 408 (2022) 108601 MR4462939
10 P Boavida de Brito, G Horel, M Robertson, Operads of genus zero curves and the Grothendieck–Teichmüller group, Geom. Topol. 23 (2019) 299 MR3921321
11 D Dugger, Combinatorial model categories have presentations, Adv. Math. 164 (2001) 177 MR1870516
12 D A Edwards, H M Hastings, Čech and Steenrod homotopy theories with applications to geometric topology, 542, Springer (1976) MR0428322
13 P Gabriel, M Zisman, Calculus of fractions and homotopy theory, 35, Springer (1967) MR0210125
14 P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
15 A Grothendieck, J L Verdier, Préfaisceaux, from: "Théorie des topos et cohomologie étale des schémas, Tome 1 : Théorie des topos (SGA 41 )" (editors M Artin, A Grothendieck, J L Verdier), Lecture Notes in Math. 269, Springer (1972) MR0354652
16 P J Haine, On the homotopy theory of stratified spaces, preprint (2018) arXiv:1811.01119
17 P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
18 G Horel, Profinite completion of operads and the Grothendieck–Teichmüller group, Adv. Math. 321 (2017) 326 MR3715714
19 M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
20 D C Isaksen, Calculating limits and colimits in pro-categories, Fund. Math. 175 (2002) 175 MR1969635
21 A Joyal, Quasi-categories and Kan complexes, J. Pure Appl. Algebra 175 (2002) 207 MR1935979
22 A Joyal, M Tierney, Quasi-categories vs Segal spaces, from: "Categories in algebra, geometry and mathematical physics" (editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman), Contemp. Math. 431, Amer. Math. Soc. (2007) 277 MR2342834
23 K Lamotke, Semisimpliziale algebraische Topologie, 147, Springer (1968) MR0245005
24 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
25 J Lurie, Spectral algebraic geometry, preprint (2018)
26 S MacLane, Categories for the working mathematician, 5, Springer (1971) MR0354798
27 M Makkai, J Rosický, L Vokřínek, On a fat small object argument, Adv. Math. 254 (2014) 49 MR3161091
28 J P May, Simplicial objects in algebraic topology, 11, Van Nostrand (1967) MR0222892
29 C V Meyer, Approximation filtrante de diagrammes finis par Pro-C, Ann. Sci. Math. Québec 4 (1980) 35 MR0574833
30 F Morel, Ensembles profinis simpliciaux et interprétation géométrique du foncteur T, Bull. Soc. Math. France 124 (1996) 347 MR1414543
31 G Quick, Profinite homotopy theory, Doc. Math. 13 (2008) 585 MR2466189
32 G Quick, Continuous group actions on profinite spaces, J. Pure Appl. Algebra 215 (2011) 1024 MR2747236
33 D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
34 C Rezk, A model category of categories, preprint (2000)
35 C Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc. 353 (2001) 973 MR1804411
36 L Ribes, P Zalesskii, Profinite groups, 40, Springer (2010) MR2599132
37 E Riehl, D Verity, Elements of –category theory, 194, Cambridge Univ. Press (2022) MR4354541