Invariant classes for families of complexes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914756287266816 |
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| author | Levin, D. Zuevsky, A. |
| author_facet | Levin, D. Zuevsky, A. |
| contents | We consider families of chain-cochain infinite complexes $\mathcal C$ of spaces with elements depending on a number of parameters, and endowed with a converging associative multiple product. The existence of left/right local/non-local square-vanishing ideals is assumed for subspaces of $\mathcal C$-spaces. We show that a set of differential and orthogonality relations together with coherence conditions on indices of a chain-cochain complex $\mathcal C$ elements generates families of graded differential algebras. With the appropriate orthogonality conditions on completions of $\mathcal C$ elements in the multiple product, we define the equivalence classes of cohomology invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09183 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant classes for families of complexes Levin, D. Zuevsky, A. Functional Analysis We consider families of chain-cochain infinite complexes $\mathcal C$ of spaces with elements depending on a number of parameters, and endowed with a converging associative multiple product. The existence of left/right local/non-local square-vanishing ideals is assumed for subspaces of $\mathcal C$-spaces. We show that a set of differential and orthogonality relations together with coherence conditions on indices of a chain-cochain complex $\mathcal C$ elements generates families of graded differential algebras. With the appropriate orthogonality conditions on completions of $\mathcal C$ elements in the multiple product, we define the equivalence classes of cohomology invariants. |
| title | Invariant classes for families of complexes |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2404.09183 |