Abstract. As the fourth paper of our series of papers concerned with axiomatic differential geometry, this paper is devoted to the general Jacobi identity supporting the Jacobi identity of vector fields. The general Jacobi identity can be regarded as one of the few fundamental results belonging properly to smootheology.

Received: December 6, 2012

AMS Subject Classification: 58A05

Key Words and Phrases: axiomatic differential geometry, general Jacobi identity, strong difference, Jacobi identity, vector fields

Download paper from here.