2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160313In this paper, we give a direct proof of the twisted Poincaré lemma by using the integrations over regularized paths. This method tells us a concrete description of the Čech-de Rham isomorphism.Classical Analysis and ODEsTwisted Poincaré Lemma and Twisted Čech-de Rham Isomorphism in case of Projective Linetext