This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J.M. Boardman and R.M. Vogt, Homotopy everything H-spaces, Bull. Amer. Math. Soc. 74 (1968), 1117–1122.
J.M. Boardman and R.M. Vogt, Homotopy invariant structures on topological spaces, Lecture Notes in Mathematics No. 347 (Springer, Berlin-New York, 1973).
W.G. Dwyer and D.M. Kan, Function complexes in homotopical algebra, Topology 19 (1980), 427–440.
Z. Fiedorowicz, R. Schwänzl, R. Steiner, and R.M. Vogt, Non-connective delooping of K-theory of an A ∞ ring space, Math. Z. 203 (1990), 43–57.
J.C. Hausmann and D. Husemoller, Acyclic maps, Enseignement Math. 25 (1979), 53–75.
K. Igusa, On the algebraic K-theory of A ∞ ring spaces, Lecture Notes in Mathematics No. 967 (Springer, Berlin-New York, 1982), 146–194.
J.P. May, The geometry of iterated loop spaces, Lecture Notes in Mathematics No. 171 (Springer, Berlin-New York, 1972).
J.P. May (with contributions by N. Ray, F. Quinn, and J. Tornehave), E ∞ ring spaces and E ∞ ring spectra, Lecture Notes in Mathematics No. 577 (Springer, Berlin-New York, 1977).
J.P. May, A ∞ ring spaces and algebraic K-theory, Lecture Notes in Mathematics No. 658 (Springer, Berlin-New York, 1978), 240–315.
J.P. May, Mulitplicative infinite loop space theory, J. Pure Appl. Algebra 26 (1982), 1–69.
J.P. May and R. Thomason, The uniqueness of infinite loop space machines, Topology 17 (1978), 205–224.
R.J. Milgram, The bar construction and abelian H-spaces, Illinois J. Math. 11 (1967), 242–250.
R. Schwänzl and R.M. Vogt, Homotopy Invariance of A ∞ and E ∞ ring spaces, Proc. Conf. Alg. Topology, Aarhus 1982, Lecture in Mathematics No. 1051 (Springer, Berlin-New York, 1984), 442–481.
R. Schwänzl and R.M. Vogt, Matrices over homotopy ring spaces and algebraic K-theory, OSM, P73 (1984), Universität Osnabrück (preprint).
R. Schwänzl and R.M. Vogt, E ∞ spaces and injective Γ-spaces, manuscripta math. 61 (1988), 203–214.
R. Schwänzl and R.M. Vogt, E ∞ monoids with coherent homotopy inverses are abelian groups, Topology 28 (1989), 481–484.
R. Schwänzl and R.M. Vogt, Homotopy homomorphisms versa hammocks, to appear.
R. Schwänzl and R.M. Vogt, Basic constructions in the algebraic K-theory of homotopy ring spaces, to appear.
G. Segal, Categories and cohomology theories, Topology 13 (1974), 293–312.
M. Steinberger, On the equivalence of the two definitions of the algebraic K-theory of a topological space, Lecture Notes in Mathematics No, 763 (Springer, Berlin-New York, 1979), 317–331.
R. Steiner, A canonical operad pair, Math. Proc. Camb. Phil. Soc. 86 (1979), 443–449.
R. Steiner, Infinite loop structures on the algebraic K-theory of spaces, Math. Proc. Camb. Phil. Soc. 90 (1981), 85–111.
R. Thomason, Uniqueness of delooping machines, Duke, Math. J. 46 (1979), 217–256.
R.M. Vogt, Convenient categories of topological spaces for homotopy theory, Arch. Math. 22 (1971), 545–555.
F. Waldhausen, Algebraic K-theory of topological spaces I, Proc. Symp. Pure Math. 32 (1978), 35–60.
F. Waldhausen, Algebraic K-theory of topological spaces II, Lecture Notes in Mathematics No. 763 (Springer, Berlin-New York, 1979), 356–394.
R. Woolfson, Hyper Γ-spaces and hyperspectra, Quart. J. Math. 30 (1979), 229–255.
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Schwänzl, R., Vogt, R.M. (1991). Homotopy ring spaces and their matrix rings. In: Jackowski, S., Oliver, B., Pawałowski, K. (eds) Algebraic Topology Poznań 1989. Lecture Notes in Mathematics, vol 1474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084751
Download citation
DOI: https://doi.org/10.1007/BFb0084751
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54098-4
Online ISBN: 978-3-540-47403-6
eBook Packages: Springer Book Archive