Seamless mobility in dense wireless networks remains a fundamental challenge due to the local,signal-driven nature of existing handover mechanisms. In this work, it will be introduced a novel topologydrivenframework for wireless handover based on sheaf and topos theory, in which network connectivity ismodeled as a sheaf over a topological space representing the physical environment. We formalize handover as agluing problem of local sections, and propose the concept of a gluing tunnel, a proactive, network-initiatedconstruct that enables structurally guaranteed transitions between access points. Unlike traditional make-beforebreakor dualconnectivity mechanisms, the proposed approach identifies topological obstructions to seamlesshandover and activates transitions only when global sections exist. This framework provides mathematicalguarantees of feasibility and introduces a new paradigm for explainable and robust mobility management.
Rodolfo Moroz (2026) studied this question.