A deformation theorem for Poincar\'e duality pairs in dimension 3

TL;DR

This paper establishes a deformation theorem for Poincaré duality pairs in three dimensions, extending classical results to a broader class of topological structures.

Contribution

It introduces a deformation theorem for PD3 pairs, generalizing Johannson's theorem to new contexts in 3-dimensional topology.

Findings

Proves an analogue of Johannson's Deformation Theorem for PD3 pairs

Extends deformation techniques to Poincaré duality pairs in dimension 3

Provides foundational results for 3-manifold topology

Abstract

We prove the analogue of Johannson's Deformation Theorem for PD3 pairs.