## General Integration Theory Defined from Extended Cohomology.

**Authors:** Johan Noldus

We engage in an approach towards integration theory divorced from
measure theory concentrating on the dierentiable functions instead of the
measurable ones. In a sense, we do for \measure theory" what dierential
geometry does for topology; the nal goal of this paper being the rigorous
denition of a generalization of the Feynman path integral. The approach
taken is an axiomatic one in which it is more important to understand
relationships between certain quantities rather than to calculate them
exactly. In a sense, this is how the eld of algebraic geometry is developed
in opposition to the study of partial dierential equations where in the
latter case, the stress is unfortunately still too much on the construction
of explicit solutions rather than on structural properties of and between
solutions.

**Comments:** 5 Pages.

**Download:** **PDF**

### Submission history

[v1] 2016-07-13 11:02:35

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