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#topology
4 documents indexed here. Mathematical objects, methods, systems, and recurring technical questions.
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1¶Papers
3- Papers · 2026
Ontology Neural Network and ORTSF: A Framework for Topological Reasoning and Delay-Robust Control
Paper of record for the original ONN + ORTSF framing. A later audit found that the higher-order/cohomological thesis adds no information beyond pairwise data un
- Papers · 2025
An Axiomatic Framework for Understanding Relations via Gauge-Invariant Cohomology
What does it mean for something to exist within a web of relations? We answer this question by developing a rigorous mathematical framework in which existence e
- Papers · 2025
Ontology Neural Networks for Topologically Conditioned Constraint Satisfaction
The reported topology-loss and 95% constraint-satisfaction figures are not reproducible from the current authoritative research source. This manuscript is retai