Topological Obstructions in Market Dynamics
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Abstract
We introduce a topological perspective on market dynamics and prove obstruction results: under specific global state-space constraints, no arbitrage-free dynamics satisfying given regularity and observability axioms can exist. The framework links homological invariants to pricing-flow consistency and identifies when local model validity cannot be extended globally.
Length
2,018 words
Claims
4 theorems
Status
Draft