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Please give me the proof that for a formal space Massey triple products vanish.

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This is a very special case of a very general result. A quasi-isomorphism of DGAs identifies Massey products (not just triple products but matrix Massey products of all sizes). See for example Theorem 1.5 of ``Matric Massey products'', http://www.math.uchicago.edu/~may/PAPERS/8.pdf. But of course you must interpret your statement modulo indeterminacy.

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  • $\begingroup$ Sir,what do you mean by indeterminacy? $\endgroup$
    – Prateep
    Commented Aug 18, 2013 at 13:37
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    $\begingroup$ A Massey product is not an element but a set of elements. Look at the definition of a triple product and think about adding a cycle to the choice of chains with the required products of cycles as their boundaries. But it would be better to look up the definitions before asking questions. $\endgroup$
    – Peter May
    Commented Aug 18, 2013 at 13:55

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