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Cohomological framework analyzes invariants in mathematical constructions, implying broader applications.
A systematic cohomological framework for analyzing when mathematical invariants extracted from analytical constructions are independent of implementation choices. Formalizes the relationship between scaffold spaces (spaces of constructions) and target spaces (spaces of invariants) through exact sequences. The primary contribution is the systematic application of well-established cohomological principles as a general-purpose verification tool for construction-independence. Applications in regularization theory, gauge theory, and geometric analysis.
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Thierry Marechal (2026) studied this question.
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