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

Unique-IP document downloads: 26 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus