Contents
Introduction 1
1 Combinatorial preliminaries 7
2 The universal side of the problem: the topological Lie
algebra, tensor algebra and invariant polynomials 19
3 Parallel transport functions and principal bundles 29
4 The complex C*, the twisting cochain of a parallel trans-
port function, and the algebraic classifying map S*:C* —•
e* 33
5 Cochains on C* with values in Tgm 47
6 The main theorem 63
Appendix, The cobar construction, holonomy, and par-
allel transport functions 69
Bibliography 77
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