On dyadic integrals and some other integrals associated with local systems

We consider some variational properties of indefinite Henstock-type integrals defined by local systems of sets. We study in particular the dyadic path integral which is a special example of such integrals.We obtain full descriptive characterization of the dyadic path integral in terms of the correspondent variational measure and compare it with the Henstock integral associated with the dyadic interval basis.  2002 Elsevier Science (USA). All rights reserved.