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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2602.12363 |
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- We introduce an equivalence relation on the global class of morphisms of a category that extends several classical notions of equivalence in mathematics. We show that the standard group-action equivalence is a special case of our framework. A more interesting example is provided by an equivalence relation defined on the class of Bessel families and based on a coarse invariant that is the pointwise norm of the analysis operator of the Bessel family -- this is also a special case of our framework, and the formalism developed here can be seen as a first step toward a categorical invariant theory for Bessel families and continuous frames.