Steven Motta, Davide Mambelli, Alessandro Rozza · 2026 · arXiv
DOI: 10.48550/arXiv.2610.26777 · open-access PDF
Os sistemas de múltiplos agentes podem diferir sob agentes idênticos e orçamentos de comunicação quando suportam diferentes formas de interação conjunta. Introduzimos folhas topológicas de irredutibilidade (TSI), um quadro teórico que separa obstáculos à compatibilidade de nível de tarefa da capacidade do sistema. Uma tarefa é representada por um complexo de interação $K$ e uma capa de capacidade $\mathcal{F}$; o nonzero $H^n(K;\mathcal{F})$ define uma assinatura estrutural, enquanto a capacidade de teste de intervenções registradas.
Machine translation (Meta M2M100); the English original follows.
Multi-agent systems can differ under identical agents and communication budgets when they support different forms of joint interaction. We introduce Topological Sheaves of Irreducibility (TSI), a sheaf-theoretic framework separating task-level compatibility obstructions from system capability. A task is represented by an interaction complex $K$ and a capacity sheaf $\mathcal{F}$; nonzero $H^n(K;\mathcal{F})$ defines a structural signature, while registered interventions test capability. For cocycle data, cochain realization is solvable exactly when the represented cohomology class vanishes. Ex
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