Abstract
THE CLASSICAL theorem of de Rham states, briefly, that the (real singular) cohomology of a (compact, smooth) manifold is naturally isomorphic to the cohomology derived from differential forms. There are many proofs of this in the literature, notably that by de Rham himself [4], that by Weil [6] (“pre-sheaf theory”), that by Schwartz [5] (“axiomatic”), and that by sheaf theory (Leray, e.g., in Godement’s book [2]). The purpose of the following lines is to give a different proof, using the handle decomposition of a manifold.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
