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concept:monotone-order-preserving-mapMonotone (Order-Preserving) Map
Structure-preserving maps between posets; foundational for category-theoretic treatment of ordered structures.
Neighborhood — ranked by edge-count
Concepts (1)
concept
- Fundamental structure: a set with a reflexive, antisymmetric, transitive relation.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Sequences of transformations in configuration space that maintain wholeness and reliably lead to living configurations.
- Interpretability property where a latent feature represents a single semantic concept; benchmarked across architectures.
- The straight, orthogonal geometries that arise naturally from structural and functional forces in built forms.
- Chapter 2 of Volume 2 of The Nature of Order, introducing structure-preserving transformations as the mechanism by which living structure arises naturally through unfolding wholeness.
- The step-by-step method of making in which each act is consistent with and extends the existing wholeness; the core mechanism that generates living structure, described in Book 2.
- A most general system of mathematical structures arising from the nature of space, which has degrees of life.
- Semantic domain for linear transformations; denotation as actual linear function; Category instance generated from homomorphism principle.