JEREMY H. CARROLL

Coordinate-Wise Additivity and the ℓ¹ Norm on Finite Graph Cochains

Abstract. For finite graph cochains with coordinate-valued edge defects, any edge-local seminorm that is coordinate-permutation symmetric and additive over disjoint coordinate supports is forced to be a nonnegative scalar multiple of coordinatewise ℓ¹ edgewise; positive weights r...

M-Compatible Gauge Classification for Banach Presheaf Coboundaries: The ℓ¹ Maximal-Symmetry Endpoint

Title. M-Compatible Gauge Classification for Banach Presheaf Coboundaries: The ℓ¹ Maximal-Symmetry Endpoint Abstract. For Banach-presheaf coboundaries over a finite poset, any faithful edge-additive diagnostic that is compatible with all bounded linear endomorphisms of each stalk...