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We study here the homotopy structure of Sha , the category of strongly homotopy associative algebras (sha-algebras for short) and strongly homotopy multiplicative maps, introduced by Stasheff (1963) for the study of the singular complex of a loop-space. Sha extends the category Da of associative...
We consider some basic properties of the 2-category Fib of fibrations over arbitrary bases, exploiting the fact that it is fibred over Cat . We show a factorisation property for adjunctions in Fib , which has direct consequences for fibrations, e.g. a characterisation of limits and colimits for...
We characterize finite-dimensional Lie algebras over an algebraically closed field of arbitrary characteristic which admit a non-trivial (quasi-) triangular Lie bialgebra structure.
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