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A variant of a Dwyer–Kan theorem for model categories

Boris Chorny and David White

Algebraic & Geometric Topology 24 (2024) 2185–2208
Bibliography
1 C Barwick, D M Kan, Relative categories: another model for the homotopy theory of homotopy theories, Indag. Math. 23 (2012) 42 MR2877401
2 M Basterra, K Bauer, A Beaudry, R Eldred, B Johnson, M Merling, S Yeakel, Unbased calculus for functors to chain complexes, from: "Women in topology: collaborations in homotopy theory" (editors M Basterra, K Bauer, K Hess, B Johnson), Contemp. Math. 641, Amer. Math. Soc. (2015) 29 MR3380068
3 G Biedermann, B Chorny, Duality and small functors, Algebr. Geom. Topol. 15 (2015) 2609 MR3426688
4 G Biedermann, B Chorny, O Röndigs, Calculus of functors and model categories, Adv. Math. 214 (2007) 92 MR2348024
5 G Biedermann, O Röndigs, Calculus of functors and model categories, II, Algebr. Geom. Topol. 14 (2014) 2853 MR3276850
6 D Blanc, B Chorny, Representability theorems, up to homotopy, Proc. Amer. Math. Soc. 148 (2020) 1363 MR4055961
7 A K Bousfield, On the telescopic homotopy theory of spaces, Trans. Amer. Math. Soc. 353 (2001) 2391 MR1814075
8 A K Bousfield, E M Friedlander, Homotopy theory of Γ–spaces, spectra, and bisimplicial sets, from: "Geometric applications of homotopy theory, II" (editors M G Barratt, M E Mahowald), Lecture Notes in Math. 658, Springer (1978) 80 MR0513569
9 M Ching, E Riehl, Coalgebraic models for combinatorial model categories, Homology Homotopy Appl. 16 (2014) 171 MR3257572
10 B Chorny, Homotopy theory of relative simplicial presheaves, Israel J. Math. 205 (2015) 471 MR3314596
11 B Chorny, A classification of small linear functors, Int. Math. Res. Not. 2016 (2016) 5493 MR3567249
12 B Chorny, W G Dwyer, Homotopy theory of small diagrams over large categories, Forum Math. 21 (2009) 167 MR2503302
13 B Chorny, J Rosický, Class-combinatorial model categories, Homology Homotopy Appl. 14 (2012) 263 MR2954676
14 B J Day, S Lack, Limits of small functors, J. Pure Appl. Algebra 210 (2007) 651 MR2324597
15 D Dugger, Combinatorial model categories have presentations, Adv. Math. 164 (2001) 177 MR1870516
16 B I Dundas, O Röndigs, P A Østvær, Enriched functors and stable homotopy theory, Doc. Math. 8 (2003) 409 MR2029170
17 W G Dwyer, Localizations, from: "Axiomatic, enriched and motivic homotopy theory" (editor J P C Greenlees), NATO Sci. Ser. II Math. Phys. Chem. 131, Kluwer (2004) 3 MR2061850
18 W G Dwyer, D M Kan, Equivalences between homotopy theories of diagrams, from: "Algebraic topology and algebraic K–theory" (editor W Browder), Ann. of Math. Stud. 113, Princeton Univ. Press (1987) 180 MR0921478
19 L Fajstrup, J Rosický, A convenient category for directed homotopy, Theory Appl. Categ. 21 (2008) 7 MR2425555
20 T G Goodwillie, Calculus, I : The first derivative of pseudoisotopy theory, K–Theory 4 (1990) 1 MR1076523
21 T G Goodwillie, Calculus, II : Analytic functors, K–Theory 5 (1992) 295 MR1162445
22 T G Goodwillie, Calculus, III : Taylor series, Geom. Topol. 7 (2003) 645 MR2026544
23 P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
24 M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
25 G M Kelly, Basic concepts of enriched category theory, 64, Cambridge Univ. Press (1982) 245 MR0651714
26 N J Kuhn, Goodwillie towers and chromatic homotopy: an overview, from: "Proceedings of the Nishida Fest" (editors M Ando, N Minami, J Morava, W S Wilson), Geom. Topol. Monogr. 10, Geom. Topol. Publ. (2007) 245 MR2402789
27 M Makkai, J Rosický, L Vokřínek, On a fat small object argument, Adv. Math. 254 (2014) 49 MR3161091
28 L Pereira, A general context for Goodwillie calculus, preprint (2013) arXiv:1301.2832
29 D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
30 O Raventós, The hammock localization preserves homotopies, Homology Homotopy Appl. 17 (2015) 191 MR3426380
31 L Vokřínek, Homotopy weighted colimits, preprint (2012) arXiv:1201.2970