By Roy Douglas (auth.), Peter Hoffman, Renzo A. Piccinini, Denis Sjerve (eds.)
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Extra info for Algebraic Topology: Proceedings, University of British Columbia, Vancouver, August 1977
D2d 2 = 0e H 42(Der) This says D 2 = 0 implies If d2d 2 = 0, the Massey-Lie product is defined and it vanishes iff there is a choice of d 3 for which a d 4 exists. [The only / reference I know to such Massey-Lie products is Douady, Seminarire H. ] Now the above description smacks of a spectral sequence. It is helpful to study the underlying gadget. Schlessinger pushed me into this by claiming there is a versal deformation, one from which all others can be induced. Theorem. a, maps R + Q. g. Lie algebra.
7; by a h o m o t o p i c is a small c o r r e c t i o n of = ~'*[g] smooth mappings B . e. but on a n e i g h b o r h o o d ~*[g] etc. 18). ~ : Y ~ Rp Then it c o n s i d e r the examples show that one can a p p r o x i m a t e : Y ~ X , where under . For m a n y p u r p o s e s (co-)kernels <~,g>-1(z) standard transversality §4 ) ~ -id(R p) <~,g>-1(O) then one is t e m p t e d to replace and t r a n s v e r s e . of d - s t r u c t u r e s not transverse, value - but t h e n g' r e p r e s e n t s cf.
Su]livan, The real homotopy theory of K~hler manifolds, Inventiones Math 29(1975) p. 245-254. L. Dupont, Simplicial deRham zohomolo~y and characteristic classes of flat bundles, Topology 15 (1976) 233-245. M. P. May, On the theory and applications of differential torsion products, Mem. of the Amer. Math Soc. 142, 1974.  S. Halperin and J. Stasheff, Obstructions to homotopy equivalences, Advances in Math (to appear). J. Hilton, On the h0motopy groups of a union of s~heres, J. London Math. Soc.
Algebraic Topology: Proceedings, University of British Columbia, Vancouver, August 1977 by Roy Douglas (auth.), Peter Hoffman, Renzo A. Piccinini, Denis Sjerve (eds.)