By Roy Douglas (auth.), Peter Hoffman, Renzo A. Piccinini, Denis Sjerve (eds.)

ISBN-10: 3540089306

ISBN-13: 9783540089308

ISBN-10: 3540357378

ISBN-13: 9783540357377

**Read Online or Download Algebraic Topology: Proceedings, University of British Columbia, Vancouver, August 1977 PDF**

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**Extra info for Algebraic Topology: Proceedings, University of British Columbia, Vancouver, August 1977**

**Sample text**

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. [6] 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.)

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