Slicing and intersection theory for chains modulo 𝜈 associated with real analytic varieties

Abstract

In a real analytic manifold a k dimensional (real) analytic chain is a locally finite sum of integral multiples of chains given by integration over certain k dimensional analytic submanifolds (or strata) of some k dimensional real analytic variety. In this paper, for any integer ν ≥ 2 \nu \geq 2 , the concepts and results of [6] on the continuity of slicing and the intersection theory for analytic chains are fully generalized to the modulo ν \nu congruence classes of such chains.