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MindTopo: Can Foundation Models Reason in Topological Space?

arXiv · AI, language, vision and robotics · article · Sep 10, 2026 · UTC

Spatial reasoning depends not only on metric properties such as distance, angle, and shape, but also on topological relations that remain invariant under continuous deformation. Cognitive science identifies these relations as foundational to spatial understanding, yet foundation-model evaluations largely focus on metric or viewpoint-dependent relations. We introduce MindTopo, a benchmark of topological intuition across five properties grounded in cognitive science and formal topology: continuity, separation, order, enclosure, and knots. MindTopo evaluates each property at two cognitive levels.

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Evidence & attribution

First collected: 2026-09-20T18:42:18.733Z. This is not the publication date.