000 01245nam a22002177a 4500
003 OSt
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020 _a9783540079842
040 _cEducational Supplies
_aICTS-TIFR
050 _aQA3
100 _aCohen, Frederick R
245 _aThe homology of iterated loop spaces
260 _aNew York:
_bSpringer,
_c[c1976]
300 _a490 p.
505 _a1. The homology of E∞ spaces 2. The homology of E∞ ring spaces 3. The homology of C n+1-Spaces, n≥0 4. The homology of SF(n+1) 5. Strong homotopy algebras over monads
520 _aThe singular chain complex of the iterated loop space is expressed in terms of the cobar construction. After that we consider the spectral sequence of the cobar construction and calculate its first term over Z/p-coefficients and over a field of characteristic zero. Finally we apply these results to calculate the homology of the iterated loop spaces of the stunted real and complex projective spaces. In the Appendix, written by F.Sergeraert there are considered computer methods for calculations of the homology of iterated loop spaces.
700 _aLada, Thomas J.
700 _aMay, J. Peter
942 _2lcc
_cBK
999 _c2451
_d2451