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1 
J Adámek, J
Rosický, Locally
presentable and accessible categories, London Math.
Soc. Lecture Note Ser. 189, Cambridge Univ. Press (1994)
MR1294136 
2 
C Barwick, On the
algebraic $K$–theory of higher categories, I. The universal
property of Waldhausen ${K}$–theory arXiv:1204.3607 
3 
C Barwick, On left and
right model categories and left and right Bousfield
localizations, Homology, Homotopy Appl. 12 (2010) 245
MR2771591 
4 
C Barwick, D M
Kan, Relative
categories: another model for the homotopy theory of homotopy
theories, Indag. Math. 23 (2012) 42 MR2877401 
5 
H Bass, Algebraic
$K$–theory, W A Benjamin (1968) MR0249491 
6 
D BenZvi, J
Francis, D Nadler, Integral
transforms and Drinfeld centers in derived algebraic
geometry, J. Amer. Math. Soc. 23 (2010) 909 MR2669705 
7 
J E Bergner,
A
model category structure on the category of simplicial
categories, Trans. Amer. Math. Soc. 359 (2007) 2043
MR2276611 
8 
J E Bergner,
A
survey of $(\infty,1)$–categories, from: "Towards
higher categories" (editors J C Baez, J P May), IMA
Vol. Math. Appl. 152, Springer (2010) 69 MR2664620 
9 
A J Blumberg,
D Gepner, G Tabuada, Uniqueness of the
multiplicative cyclotomic trace arXiv:1103.3923 
10 
A J Blumberg,
M A Mandell, Localization for ${THH}(ku)$ and
the topological Hochschild and cyclic homology of Waldhausen
categories arXiv:1111.4003 
11 
A J Blumberg,
M A Mandell, The localization
sequence for the algebraic $K$–theory of topological
$K$–theory, Acta Math. 200 (2008) 155 MR2413133 
12 
A J Blumberg,
M A Mandell, Algebraic
$K$–theory and abstract homotopy theory, Adv. Math. 226
(2011) 3760 
13 
A J Blumberg,
M A Mandell, Derived Koszul
duality and involutions in the algebraic $K$–theory of
spaces, J. Topol. 4 (2011) 327 MR2805994 
14 
A J Blumberg,
M A Mandell, Localization
theorems in topological Hochschild homology and topological
cyclic homology, Geom. Topol. 16 (2012) 1053 MR2928988 
15 
J M Boardman,
R M Vogt, Homotopy invariant algebraic
structures on topological spaces, Lecture Notes in Math.
347, Springer (1973) MR0420609 
16 
M Bökstedt,
Topological Hochschild homology, preprint 
17 
M Bökstedt,
W C Hsiang, I Madsen, The cyclotomic trace and
algebraic $K$–theory of spaces, Invent. Math. 111
(1993) 465 MR1202133 
18 
A K Bousfield,
The
localization of spaces with respect to homology,
Topology 14 (1975) 133 MR0380779 
19 
D C Cisinski,
Invariance de la
$K$–théorie par équivalences dérivées, J. $K$–Theory 6
(2010) 505 MR2746284 
20 
D C Cisinski,
G Tabuada, Nonconnective
$K$–theory via universal invariants, Compos. Math. 147
(2011) 1281 MR2822869 
21 
D C Cisinski,
G Tabuada, Symmetric
monoidal structure on noncommutative motives, J.
$K$–Theory 9 (2012) 201 MR2922389 
22 
G Cortiñas, A
Thom, Bivariant algebraic
$K$–theory, J. Reine Angew. Math. 610 (2007) 71
MR2359851 
23 
V Drinfeld,
DG
quotients of DG categories, J. Algebra 272 (2004) 643
MR2028075 
24 
D Dugger, Combinatorial model
categories have presentations, Adv. Math. 164 (2001)
177 MR1870516 
25 
D Dugger, D I
Spivak, Mapping spaces in
quasicategories, Algebr. Geom. Topol. 11 (2011)
263 
26 
B I Dundas,
Relative
$K$–theory and topological cyclic homology, Acta Math.
179 (1997) 223 MR1607556 
27 
W G Dwyer,
D M Kan, Calculating
simplicial localizations, J. Pure Appl. Algebra 18
(1980) 17 MR578563 
28 
W G Dwyer,
D M Kan, Simplicial
localizations of categories, J. Pure Appl. Algebra 17
(1980) 267 MR579087 
29 
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 MR921478 
30 
A D Elmendorf,
I Kriz, M A Mandell, J P May,
Rings, modules, and algebras in stable homotopy theory,
Math. Surveys and Monographs 47, Amer. Math. Soc. (1997)
MR1417719 
31 
Z Fiedorowicz, R
Schwänzl, R Steiner, R Vogt, Nonconnective delooping
of $K$–theory of an $A_\infty$ ring space, Math. Z. 203
(1990) 43 MR1030707 
32 
T Geisser, L
Hesselholt, Topological cyclic homology of schemes,
from: "Algebraic $K$–theory" (editors W Raskind, C Weibel),
Proc. Sympos. Pure Math. 67, Amer. Math. Soc. (1999) 41
MR1743237 
33 
T Geisser, L
Hesselholt, On relative
and birelative algebraic $K$–theory of rings of finite
characteristic, J. Amer. Math. Soc. 24 (2011) 29 
34 
P G Goerss,
J F Jardine, Simplicial
homotopy theory, Progress in Mathematics 174,
Birkhäuser (1999) MR1711612 
35 
T G Goodwillie,
Cyclic
homology, derivations, and the free loopspace, Topology
24 (1985) 187 MR793184 
36 
L Hesselholt,
Witt vectors
of noncommutative rings and topological cyclic
homology, Acta Math. 178 (1997) 109 MR1448712 
37 
L Hesselholt, I
Madsen, On the $K$–theory
of local fields, Ann. of Math. 158 (2003) 1 MR1998478 
38 
N Higson, A
characterization of $KK$–theory, Pacific J. Math. 126
(1987) 253 MR869779 
39 
P S Hirschhorn,
Model categories and their localizations, Math. Surveys
and Monographs 99, Amer. Math. Soc. (2003) MR1944041 
40 
A Hirschowitz, C
Simpson, Descente pour les $n$–champs arXiv:math/9807049 
41 
M Hovey, B
Shipley, J Smith, Symmetric
spectra, J. Amer. Math. Soc. 13 (2000) 149 MR1695653 
42 
A Joyal, Quasicategories
and Kan complexes, J. Pure Appl. Algebra 175 (2002) 207
MR1935979 
43 
A Joyal, M
Tierney, Quasicategories 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 
44 
B Keller, On the cyclic
homology of exact categories, J. Pure Appl. Algebra 136
(1999) 1 MR1667558 
45 
H Krause, On
Neeman's well generated triangulated categories, Doc. Math.
6 (2001) 121 MR1836046 
46 
H Krause, Localization
theory for triangulated categories, from: "Triangulated
categories" (editors T Holm, P Jørgensen, R Rouquier), London
Math. Soc. Lecture Note Ser. 375, Cambridge Univ. Press (2010)
161 MR2681709 
47 
J Lurie, Higher
topos theory, Annals of Mathematics Studies 170, Princeton
Univ. Press (2009) MR2522659 
48 
J Lurie, Higher algebra, preprint
(2012) 
49 
M Makkai, R
Paré, Accessible categories: the
foundations of categorical model theory, Contemporary
Mathematics 104, Amer. Math. Soc. (1989) MR1031717 
50 
J P May,
$A_{\infty }$ ring spaces and algebraic $K$–theory,
from: "Geometric applications of homotopy theory, II" (editors
M G Barratt, M E Mahowald), Lecture Notes in Math.
658, Springer (1978) 240 MR513580 
51 
R McCarthy,
On
fundamental theorems of algebraic $K$–theory, Topology
32 (1993) 325 MR1217072 
52 
R McCarthy,
The
cyclic homology of an exact category, J. Pure Appl.
Algebra 93 (1994) 251 MR1275967 
53 
R McCarthy,
Relative
algebraic $K$–theory and topological cyclic homology,
Acta Math. 179 (1997) 197 MR1607555 
54 
R Meyer, R
Nest, The Baum–Connes
conjecture via localisation of categories, Topology 45
(2006) 209 MR2193334 
55 
F Morel, V
Voevodsky, $\mathbf{A}^1$–homotopy
theory of schemes, Inst. Hautes Études Sci. Publ. Math.
(1999) 45 MR1813224 
56 
A Neeman, The
connection between the $K$–theory localization theorem of
Thomason, Trobaugh and Yao and the smashing subcategories of
Bousfield and Ravenel, Ann. Sci. École Norm. Sup. 25
(1992) 547 MR1191736 
57 
A Neeman,
Triangulated categories, Annals of Mathematics Studies
148, Princeton Univ. Press (2001) MR1812507 
58 
E K Pedersen,
C A Weibel, $K$–theory homology of
spaces, from: "Algebraic topology" (editors G Carlsson,
R L Cohen, H R Miller, D C Ravenel), Lecture
Notes in Math. 1370, Springer (1989) 346 MR1000388 
59 
D Quillen, Higher
algebraic $K$–theory. I, from: "Algebraic $K$–theory, I:
Higher $K$–theories" (editor H Bass), Lecture Notes in Math.
341, Springer (1973) 85 MR0338129 
60 
C Rezk, A model for
the homotopy theory of homotopy theory, Trans. Amer.
Math. Soc. 353 (2001) 973 MR1804411 
61 
C Rezk, S
Schwede, B Shipley,
Simplicial structures on model categories and functors,
Amer. J. Math. 123 (2001) 551 MR1833153 
62 
J Rognes, A spectrum
level rank filtration in algebraic $K$–theory, Topology
31 (1992) 813 MR1191383 
63 
J Rognes,
Twoprimary algebraic $K$–theory of spaces and related
spaces of symmetries of manifolds, from: "Algebraic
$K$–theory" (editors W Raskind, C Weibel), Proc. Sympos. Pure
Math. 67, Amer. Math. Soc. (1999) 213 MR1743242 
64 
M Schlichting,
Negative
$K$–theory of derived categories, Math. Z. 253 (2006)
97 MR2206639 
65 
S Schwede, B
Shipley, Stable model
categories are categories of modules, Topology 42
(2003) 103 MR1928647 
66 
C Simpson, A
Giraudtype characterization of the simplicial categories
associated to closed model categories as $\infty$–pretopoi
arXiv:math/9903167 
67 
R J Steiner,
Infinite loop
structures on the algebraic $K$–theory of spaces, Math.
Proc. Cambridge Philos. Soc. 90 (1981) 85 MR611287 
68 
G Tabuada, Higher $K$–theory
via universal invariants, Duke Math. J. 145 (2008) 121
MR2451292 
69 
G Tabuada, Homotopy theory
of spectral categories, Adv. Math. 221 (2009) 1122
MR2518634 
70 
G Tabuada, Matrix invariants of
spectral categories, Int. Math. Res. Not. 2010 (2010)
2459 MR2669656 
71 
Z Tamsamani, On
nonstrict notions of $n$–category and $n$–groupoid via
multisimplicial sets arXiv:alggeom/9512006 
72 
R W Thomason,
T Trobaugh, Higher
algebraic $K$–theory of schemes and of derived
categories, from: "The Grothendieck Festschrift, Vol.
3" (editors P Cartier, L Illusie, N M Katz, G Laumon,
K A Ribet), Progr. Math. 88, Birkhäuser (1990) 247
MR1106918 
73 
B Toën, The homotopy
theory of $dg$–categories and derived Morita theory,
Invent. Math. 167 (2007) 615 MR2276263 
74 
B Toën, G
Vezzosi, A remark on
$K$–theory and $S$–categories, Topology 43 (2004) 765
MR2061207 
75 
V Voevodsky,
Triangulated categories of motives over a field, from:
"Cycles, transfers, and motivic homology theories", Ann. of
Math. Stud. 143, Princeton Univ. Press (2000) 188 MR1764202 
76 
J B Wagoner,
Delooping
classifying spaces in algebraic $K$–theory, Topology 11
(1972) 349 MR0354816 
77 
F Waldhausen,
Algebraic $K$–theory of topological spaces. II, from:
"Algebraic topology" (editors J L Dupont, I H
Madsen), Lecture Notes in Math. 763, Springer (1979) 356
MR561230 
78 
F Waldhausen,
Algebraic
$K$–theory of spaces, from: "Algebraic and geometric
topology" (editors A Ranicki, N Levitt, F Quinn), Lecture Notes
in Math. 1126, Springer (1985) 318 MR802796 
