Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
S. Araki and T. Kudo, Topology of Hn-spaces and H-squaring operations. Mem. Fac. Sci. Kyūsyū Univ. Ser. A, 1956, 85–120.
V. I. Arnold, The cohomology ring of the colored braid group. Math. Zametki, 2(1969), 227–231.
V. I. Arnold, On a class of algebraic functions and cohomologies of fiber tails. Uspeki Mat. Nauk S.S.S.R., 23(1968), 247–248.
E. Artin, Theory of braids. Annals of Math., 48(1947), 101–126.
R. Bott and H. Samelson, On the Pontrjagin product in spaces of paths, Comment. Math. Helv., 27(1953), 320–337.
W. Browder, Homology operations and loop spaces, Ill. J. Math., 4(1960), 347–357.
H. Cartan and S. Eilenberg, Homological Algebra. Princeton: Princeton University Press, 1956.
E. Dyer and R. K. Lashof, Homology of iterated loop spaces. Amer. J. Math., 1962, 35–88.
E. Fadell and L. Neuwirth, Configuration spaces. Math. Scand., 10(1962), 119–126.
R. Fox and L. Neuwirth, The braid groups. Math. Scand., 10(1962), 119–126.
M. Hall, A basis for free Lie rings and higher commutators in free groups. Proc. Am. Soc., 1(1950), 575–581.
P. Hilton, On the homotopy groups of a union of spheres. Comment. Math. Helv., 29(1955), 59–92.
P. Hilton, Homotopy Theory and Duality. Gordon and Breach, 1965.
N. Jacobson, Lie Algebras. Interscience Tracts in Pure and Applied Math., no. 10, Interscience, New York, 1962.
S. MacLane, Homology. Academic Press, 1963
(A) J. P. May, A general algebraic approach to Steenrod operations. The Steenrod Algebra and its Applications, Lecture Notes in Math., Vol. 168, Springer Verlag, 1970, 153–231.
(G) J. P. May, The Geometry of Iterated Loop Spaces, Lecture Notes in Math., vol. 271, Springer Verlag, 1972.
(G′) J. P. May, E∞ ring spaces and permutative categories.
(I) J. P. May, The homology of E∞ spaces.
R. J. Milgram, Iterated loop spaces, Ann. of Math., 84(1966), 386–403.
H. Samelson, A connection between the Whitehead and the Pontrjagin product. Am. J. Math. 75(1953), 744–752.
G. Segal, Configuration spaces and iterated loop spaces. Invent. Math., 21(1973), 213–221.
R. G. Swan, The p-period of a finite group. Ill. J. Math. 4 (1960), 341–346.
W. Browder, Torsion in H-spaces. Ann. of Math. 74(1961), 24–51.
V. Snaith, A stable decomposition for ΩnΣnX. J. London Math. Soc., 8(1974).
F. Cohen, Cohomology of braid spaces. B.A.M.S. 79(1973), 761–764.
F. Cohen, Homology of Ωn+1Σn+1X and Cn+1X, n>0. B.A.M.S., 79(1973), 1236–1241.
F. Cohen, Splitting certain suspensions via self-maps. To appear in Ill. J. Math..
D. B. Fuks, Cohomologies of the braid groups mod 2. Functional Analysis and its Applications, 4 (1970), 143–151.
F. Cohen and L. Taylor, The cohomology of configuration spaces and of braid spaces on manifolds. (In preparation)
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this chapter
Cite this chapter
Cohen, F. (1976). The homology of C n+1-Spaces, n≥0. In: The Homology of Iterated Loop Spaces. Lecture Notes in Mathematics, vol 533. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080467
Download citation
DOI: https://doi.org/10.1007/BFb0080467
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07984-2
Online ISBN: 978-3-540-37985-0
eBook Packages: Springer Book Archive