## A spectral sequence for the homotopy of nice spaces

HTML articles powered by AMS MathViewer

- by A. K. Bousfield and E. B. Curtis PDF
- Trans. Amer. Math. Soc.
**151**(1970), 457-479 Request permission

## References

- J. F. Adams,
*On the structure and applications of the Steenrod algebra*, Comment. Math. Helv.**32**(1958), 180–214. MR**96219**, DOI 10.1007/BF02564578 - J. F. Adams,
*On the cobar construction*, Colloque de topologie algébrique, Louvain, 1956, Georges Thone, Liège; Masson & Cie, Paris, 1957, pp. 81–87. MR**0090045** - Michel André,
*Méthode simpliciale en algèbre homologique et algèbre commutative*, Lecture Notes in Mathematics, Vol. 32, Springer-Verlag, Berlin-New York, 1967 (French). MR**0214644** - A. K. Bousfield, E. B. Curtis, D. M. Kan, D. G. Quillen, D. L. Rector, and J. W. Schlesinger,
*The $\textrm {mod}-p$ lower central series and the Adams spectral sequence*, Topology**5**(1966), 331–342. MR**199862**, DOI 10.1016/0040-9383(66)90024-3 - A. K. Bousfield,
*Nice homology coalgebras*, Trans. Amer. Math. Soc.**148**(1970), 473–489. MR**258919**, DOI 10.1090/S0002-9947-1970-0258919-6 - A. K. Bousfield and D. M. Kan,
*The homotopy spectral sequence of a space with coefficients in a ring*, Topology**11**(1972), 79–106. MR**283801**, DOI 10.1016/0040-9383(72)90024-9 - Edward B. Curtis,
*Some relations between homotopy and homology*, Ann. of Math. (2)**82**(1965), 386–413. MR**184231**, DOI 10.2307/1970703 - Edward Curtis,
*Simplicial homotopy theory*, Aarhus Universitet, Matematisk Institut, Aarhus, 1967. MR**0268888** - Edward B. Curtis,
*Some nonzero homotopy groups of spheres*, Bull. Amer. Math. Soc.**75**(1969), 541–544. MR**245007**, DOI 10.1090/S0002-9904-1969-12236-6 - Albrecht Dold,
*Homology of symmetric products and other functors of complexes*, Ann. of Math. (2)**68**(1958), 54–80. MR**97057**, DOI 10.2307/1970043 - Samuel Eilenberg and John C. Moore,
*Homology and fibrations. I. Coalgebras, cotensor product and its derived functors*, Comment. Math. Helv.**40**(1966), 199–236. MR**203730**, DOI 10.1007/BF02564371 - Daniel M. Kan,
*A combinatorial definition of homotopy groups*, Ann. of Math. (2)**67**(1958), 282–312. MR**111032**, DOI 10.2307/1970006 - Daniel M. Kan and George W. Whitehead,
*The reduced join of two spectra*, Topology**3**(1965), no. suppl, suppl. 2, 239–261. MR**178463**, DOI 10.1016/0040-9383(65)90077-7 - Saunders MacLane,
*Homology*, 1st ed., Die Grundlehren der mathematischen Wissenschaften, Band 114, Springer-Verlag, Berlin-New York, 1967. MR**0349792** - W. S. Massey and F. P. Peterson,
*The $\textrm {mod}\ 2$ cohomology structure of certain fibre spaces*, Memoirs of the American Mathematical Society, No. 74, American Mathematical Society, Providence, R.I., 1967. MR**0226637** - John W. Milnor and John C. Moore,
*On the structure of Hopf algebras*, Ann. of Math. (2)**81**(1965), 211–264. MR**174052**, DOI 10.2307/1970615 - John C. Moore and Larry Smith,
*Hopf algebras and multiplicative fibrations. II*, Amer. J. Math.**90**(1968), 1113–1150. MR**238323**, DOI 10.2307/2373293 - David L. Rector,
*An unstable Adams spectral sequence*, Topology**5**(1966), 343–346. MR**199863**, DOI 10.1016/0040-9383(66)90025-5 - James W. Schlesinger,
*The semi-simplicial free Lie ring*, Trans. Amer. Math. Soc.**122**(1966), 436–442. MR**199861**, DOI 10.1090/S0002-9947-1966-0199861-8 - Larry Smith,
*Homological algebra and the Eilenberg-Moore spectral sequence*, Trans. Amer. Math. Soc.**129**(1967), 58–93. MR**216504**, DOI 10.1090/S0002-9947-1967-0216504-6 - N. E. Steenrod,
*Cohomology operations*, Annals of Mathematics Studies, No. 50, Princeton University Press, Princeton, N.J., 1962. Lectures by N. E. Steenrod written and revised by D. B. A. Epstein. MR**0145525**

## Additional Information

- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**151**(1970), 457-479 - MSC: Primary 55.52
- DOI: https://doi.org/10.1090/S0002-9947-1970-0267586-7
- MathSciNet review: 0267586