References
J.M. Boardman, Stable homotopy theory; mimeographed notes; University of Warwick (1965)
M. Bökstedt, Topological Hochschild homology; Preprint Universität Bielefeld
B.I. Dundas and R. McCarthy, StableK-theory and topological Hochschild homology; Preprint 1992
A. Dold, Lectures on Algebraic Topology; Springer-Verlag (1972)
A. Dold, Homology of symmetric products and other functors of complexes; Ann. of Math.68, (1958); 54–80
A. Dold and D. Puppe, Homologie nicht-additiver Funktoren. Anwendungen, Ann. Inst. Fourier11, (1961), 201–312
S. Eilenberg and S. MacLane, Cohomology theory of abelian groups and homotopy theory I; Proc. Nat. Acad. Sci. USA36 (1950), 443–447
S. Eilenberg and S. MacLane, Homology theories for multiplicative systems; Trans. Amer. Math. Soc.71, (1951), 294–330
S. Eilenberg and S. MacLane, On the groupsH(Π,n) I, Ann. of Math.68 (1953); 55–106
A.D. Elmendorf, J.P.C. Greenlees, I. Kriz and J.P. May, Commutative algebra in stable homotopy theory and a completion theorem; Math. Research Letters1 (1994), 225–239
A.D. Elmendorf, I. Kriz and J.P. May, Commutative algebra in stable homotopy theory, in preparation
Th. Gunnarson and R. Schwänzl, Chain algebras, simplicial rings, and Eilenberg-MacLane ring spectra, in preparation
J. Hollender and R.M. Vogt, Modules of topological spaces, applications to homotopy limits andE ∞ structures; Arch. Math.59 (1992), 115–129
M. Jibladze and T. Pirashvili, Cohomology of algebraic theories; J. of Algebra137 (1991), 253–296
S. MacLane, Homologie des anneaux et des modules; Coll. topologie algébrique, Louvain (1956), 55–80
S. MacLane, Homology; Springer Verlag 1963
J.P. May, Simplicial objects in algebraic topology; Van Nostrand Math. Studies11 (1967)
J.P. May, Multiplicative infinite loop space theory; J. Pure Appl. Algebra26 (1982), 1–69
T. Pirashvili, New homology and cohomology of rings; Bull. Acad. Sci. Georgia133 (1989), 477–480
T. Pirashvili and F. Waldhausen, MacLane homology and topological Hochschild homology; J. Pure Appl. Algebra82 (1992), 81–98
A. Robinson, Derived tensor products in stable homotopy theory; Topology22 (1983), 1–18
R. Schwänzl, R. Staffeldt and F. Waldhausen, The equivalence of stableK-theory and topological Hochschild homology; Preprint Univ. Bielefeld (1994)
R. Schwänzl and R. Vogt, On the equivalence of two definitions of topological Hochschild homology; in preparation
G. Segal, Categories and cohomology theories; Topology13 (1974), 293–312
R. Steiner, A canonical operad pair, Math. Proc. Cambridge Phil. Soc.86 (1979), 443–449
F. Waldhausen, AlgebraicK-theory of topological spaces I; Proc. Symp. Pure Math.32 (1978), 35–60
F. Waldhausen, AlgebraicK-theory of topological spaces II; Springer Lecture Notes in Mathematics763 (1979), 356–394
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Fiedorowicz, Z., Pirashvili, T., Schwänzl, R. et al. MacLane homology and topological Hochschild homology. Math. Ann. 303, 149–164 (1995). https://doi.org/10.1007/BF01460984
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DOI: https://doi.org/10.1007/BF01460984