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Relative recognition principle

Renato Vasconcellos Vieira

Algebraic & Geometric Topology 20 (2020) 1431–1486
Bibliography
1 C Berger, I Moerdijk, Axiomatic homotopy theory for operads, Comment. Math. Helv. 78 (2003) 805 MR2016697
2 C Berger, I Moerdijk, The Boardman–Vogt resolution of operads in monoidal model categories, Topology 45 (2006) 807 MR2248514
3 C Berger, I Moerdijk, Resolution of coloured operads and rectification of homotopy algebras, 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) 31 MR2342815
4 C Berger, I Moerdijk, On an extension of the notion of Reedy category, Math. Z. 269 (2011) 977 MR2860274
5 J M Boardman, R M Vogt, Homotopy-everything H–spaces, Bull. Amer. Math. Soc. 74 (1968) 1117 MR236922
6 J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR0420609
7 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 MR513569
8 F R Cohen, T J Lada, J P May, The homology of iterated loop spaces, 533, Springer (1976) MR0436146
9 M Cole, Mixing model structures, Topology Appl. 153 (2006) 1016 MR2203016
10 J Ducoulombier, Swiss-cheese action on the totalization of action-operads, Algebr. Geom. Topol. 16 (2016) 1683 MR3523052
11 J Ducoulombier, From maps between coloured operads to Swiss-cheese algebras, Ann. Inst. Fourier (Grenoble) 68 (2018) 661 MR3803116
12 R Frankhuizen, The recognition principle for grouplike 𝒞n–algebras, Master’s thesis, Utrecht University (2013)
13 R Fritsch, R A Piccinini, Cellular structures in topology, 19, Cambridge Univ. Press (1990) MR1074175
14 P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
15 P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
16 E Hoefel, OCHA and the swiss-cheese operad, J. Homotopy Relat. Struct. 4 (2009) 123 MR2520990
17 E Hoefel, Some elementary operadic homotopy equivalences, from: "Topics in noncommutative geometry" (editor G Cortiñas), Clay Math. Proc. 16, Amer. Math. Soc. (2012) 67 MR2986861
18 E Hoefel, M Livernet, Open-closed homotopy algebras and strong homotopy Leibniz pairs through Koszul operad theory, Lett. Math. Phys. 101 (2012) 195 MR2947961
19 E Hoefel, M Livernet, J Stasheff, A–actions and recognition of relative loop spaces, Topology Appl. 206 (2016) 126 MR3494436
20 M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
21 N Idrissi, Swiss-cheese operad and Drinfeld center, Israel J. Math. 221 (2017) 941 MR3704940
22 H Kajiura, J Stasheff, Homotopy algebras inspired by classical open-closed string field theory, Comm. Math. Phys. 263 (2006) 553 MR2211816
23 M Kontsevich, Operads and motives in deformation quantization, Lett. Math. Phys. 48 (1999) 35 MR1718044
24 M Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys. 66 (2003) 157 MR2062626
25 P Lambrechts, I Volić, Formality of the little N–disks operad, 1079, Amer. Math. Soc. (2014) MR3220287
26 E L Lima, Duality and Postnikov invariants, PhD thesis, The University of Chicago (1958) MR2611479
27 M Livernet, Non-formality of the Swiss-cheese operad, J. Topol. 8 (2015) 1156 MR3431672
28 F Loregian, This is the (co)end, my only (co)friend, preprint (2015) arXiv:1501.02503
29 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
30 S Mac Lane, Categories for the working mathematician, 5, Springer (1998) MR1712872
31 J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR0420610
32 J P May, E spaces, group completions, and permutative categories, from: "New developments in topology" (editor G Segal), London Math. Soc. Lecture Note Ser. 11 (1974) 61 MR0339152
33 J P May, The dual Whitehead theorems, from: "Topological topics" (editor I M James), London Math. Soc. Lecture Note Ser. 86, Cambridge Univ. Press (1983) 46 MR827247
34 J P May, Weak equivalences and quasifibrations, from: "Groups of self-equivalences and related topics" (editor R A Piccinini), Lecture Notes in Math. 1425, Springer (1990) 91 MR1070579
35 J P May, Definitions: operads, algebras and modules, from: "Operads : Proceedings of Renaissance Conferences" (editors J L Loday, J D Stasheff, A A Voronov), Contemp. Math. 202, Amer. Math. Soc. (1997) 1 MR1436912
36 J P May, A concise course in algebraic topology, Univ. Chicago Press (1999) MR1702278
37 A Quesney, Swiss cheese type operads and models for relative loop spaces, preprint (2015) arXiv:1511.05826
38 D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
39 P Salvatore, Configuration spaces with summable labels, from: "Cohomological methods in homotopy theory" (editors J Aguadé, C Broto, C Casacuberta), Progr. Math. 196, Birkhäuser (2001) 375 MR1851264
40 S Schwede, Spectra in model categories and applications to the algebraic cotangent complex, J. Pure Appl. Algebra 120 (1997) 77 MR1466099
41 M Spitzweck, Operads, algebras and modules in general model categories, preprint (2001) arXiv:math/0101102
42 J D Stasheff, Homotopy associativity of H–spaces, I, Trans. Amer. Math. Soc. 108 (1963) 275 MR0158400
43 J D Stasheff, Homotopy associativity of H–spaces, II, Trans. Amer. Math. Soc. 108 (1963) 293 MR0158400
44 N P Strickland, The category of CGWH spaces, preprint (2009)
45 A A Voronov, The Swiss-cheese operad, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 365 MR1718089
46 T Willwacher, (Non-)formality of the extended Swiss cheese operads, preprint (2017) arXiv:1706.02945
47 B Zwiebach, Oriented open-closed string theory revisited, Ann. Physics 267 (1998) 193 MR1638333