Measurable versions of Whitney's 2-isomorphism theorem are established for locally finite graphings by defining weak isomorphisms that preserve edge measures, cycles, and hyperfinite subgraphs, with rigidity for weakly 3-connected infinitely-ended cases and implementation via countable measurable Wh
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
fields
math.CO 2years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
A unified framework yields eight depth measures on matroids with six shown functionally inequivalent, two matching branch-depth and tree-depth, and all coinciding on matroids versus matrices over any field.
citing papers explorer
-
Whitney's 2-isomorphism theorem for graphings
Measurable versions of Whitney's 2-isomorphism theorem are established for locally finite graphings by defining weak isomorphisms that preserve edge measures, cycles, and hyperfinite subgraphs, with rigidity for weakly 3-connected infinitely-ended cases and implementation via countable measurable Wh
-
Measuring Depth of Matroids
A unified framework yields eight depth measures on matroids with six shown functionally inequivalent, two matching branch-depth and tree-depth, and all coinciding on matroids versus matrices over any field.