The Isbell nucleus of a matrix induces an isometry between its tropical row and column spans under the Hilbert projective metric, with gap matrices equating algebraic slack to geometric distance to cell walls.
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Projective metric geometry of tropical nuclei: gap matrices, event loci, and order chambers
The Isbell nucleus of a matrix induces an isometry between its tropical row and column spans under the Hilbert projective metric, with gap matrices equating algebraic slack to geometric distance to cell walls.