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By L. F. McAuley

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Extra resources for Algebraic and Geometrical Methods in Topology: Conference on Topological Methods in Algebraic Topology SUNY Binghamton, October 3–7, 1973

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176 (1973). Torsion in H - s p a c e s , Ann. of Math. 74 (1961), 24-51. On differential Hopf algebras, Trans. Amer. Math. Soc. i0 (1963), 153-176. [6] P. G. Kumpel, Mod p equivalences of J. Math. 23 (1972). rood p H - spaces, Qu~rt. 51 [7] M. Mahowald, On obstruction theory in orientable Trans. Amer. Math. Soc, II0 (1964), [8] W. S. Massey and F. P. Peterson, fibre bundles, 315-349. The cohomology structure of certain fibre spaces, Topology--4 (1965), 47-65. [9 ] and , On the rood 2 cohomology Structure of certain fibre spaces, Amer.

P-I cohomology of X such that has the form E2 b'(M) where can be read off from as in Figure i. mod p is an Now the fact that <__6 p - 5 . E2 . Furthermore all the This implies that if one writes down the geometric realization of a minimal resolution of obtains essentially the M of the spectral sequence there are no non-trivial differentials in stems 6p -5 , K abstractly as algebras over the Steenrod algebra. emerges is that by inspection of E K It will turn out that a unstable A -module of a particularly nice form.

Mislin and J. Roitberg, H-spaces of rank 2 and non-cancellation phenomena, Inv. Math. 16 (1972), 325-334. 6. P. J. Hilton and Joe Roitberg, On principal S3-bundles over sphere, Ann. of Math. 90 (1969), 91-107. 7. M. Mimura, G. Nishida and H. Toda, Localization of CW-complexes and its applications, J. Math. Soc. Japan, 23 (1971), 593-624. 8. G. Mislin, The genus of an H-space, Lecture Notes in Mathematics 249, Springer (1971), 75-83. 9. A. Sieradski, Square roots up to homotopy type, Amer. J. Math.

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