Topology

The Math That Breaks Multi-Agent AI: Why Your Centralized Approach Is Doomed

Centralized coordination is dead. Sheaf-ADMM uses sheaf theory from algebraic topology to embed global coherence into local constraints, allowing decentralized multi-agent systems to scale without global communication. This approach redefines coordination as a constraint-satisfaction problem over a topological space, with provable convergence and massive scalability — the secret behind drone swarms that just work.