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Synthetic differential geometry of Chen's iterated integrals
(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2014)
Chen's iterated integrals are treated within synthetic di erential geometry. The main result is that iterated integrals produce a subcomplex of the de Rham complex on the free path space as well as based path spaces.