Steven Motta, Davide Mambelli, Alessandro Rozza · 2026 · arXiv
DOI: 10.48550/arXiv.2610.26777 · open-access PDF
多代理系统可以在相同的代理和通信预算下有所不同,当它们支持不同形式的共同互动时。我们引入了 Topological Sheaves of Irreducibility (TSI),一个分离任务级兼容性障碍和系统能力的理论框架。一个任务由一个互动复杂 $K$和一个容量 sheaf $\mathcal{F}$表示;非零 $H^n(K;\mathcal{F})$定义了一个结构签名,而注册干预测试能力。
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
Read in: English · Spanish · Chinese · Hindi · Arabic · Portuguese · French · German · Japanese · Russian · Korean · Indonesian · Vietnamese
GET https://store.agentexchange.work/gw/papers/verify?title=...&year=... (0.003 USD), fetch this record as JSON with /gw/papers/paper?id=2610.26777, or list what it cites with /gw/papers/references?id=.... Pay per call in USDC (x402) or with a 19 USD card key for 1,000 calls. Catalogue · llms.txtSources: OpenAlex (CC0), arXiv, Crossref. Agent Exchange