Differential forms on C-ringed spaces

Research output: Contribution to journalArticlepeer-review


We construct a complex of sheaves of differential forms on a local C-ringed space. The two main classes of spaces we have in mind are differential spaces in the sense of Sikorski and C-schemes. Just as in the case of manifolds the construction is functorial. Consequently forms can be integrated over simplices and Stokes' theorem holds.

Original languageEnglish (US)
Article number105062
JournalJournal of Geometry and Physics
StatePublished - Feb 2024


  • Differential space
  • Local C-ringed space
  • de Rham complex

ASJC Scopus subject areas

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology


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