Universal Bridge Theorem: A Cohomological Framework for Construction-Independent Invariants
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2026
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| _version_ | 1866901751396827136 |
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| author | Maréchal, Thierry |
| author_facet | Maréchal, Thierry |
| contents | <p>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.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19221926 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Universal Bridge Theorem: A Cohomological Framework for Construction-Independent Invariants Maréchal, Thierry construction independence cohomological exact sequence scaffold space regularization invariance gauge independence isomorphism theorems verification protocol <p>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.</p> |
| title | Universal Bridge Theorem: A Cohomological Framework for Construction-Independent Invariants |
| topic | construction independence cohomological exact sequence scaffold space regularization invariance gauge independence isomorphism theorems verification protocol |
| url | https://doi.org/10.5281/zenodo.19221926 |