Fiberwise Intersection Theory

TL;DR

This paper introduces a new bordism invariant for fiberwise intersection theory, which can serve as an obstruction under specific conditions, advancing the understanding of intersection phenomena in fibered spaces.

Contribution

It defines a novel bordism invariant that acts as an obstruction in fiberwise intersection theory, providing new tools for topological analysis.

Findings

The invariant detects obstructions in fiberwise intersection scenarios.

Under certain conditions, the invariant precisely characterizes when intersection theory applies.

The approach extends classical intersection theory to fibered contexts.

Abstract

We define a bordism invariant for the fiberwise intersection theory. Under some certain conditions, this invariant is an obstruction for the theory.