Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2510.08360 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914084179410944 |
|---|---|
| author | Bonicatto, Paolo Rindler, Filip Turnbull, Harry |
| author_facet | Bonicatto, Paolo Rindler, Filip Turnbull, Harry |
| contents | This work establishes a Space-Time Connectivity Theorem for normal currents. In analogy to classical results by Federer and Fleming as well as a recent theorem for integral currents by the second author, this result allows one to witness the weak* convergence of a uniformly bounded sequence of boundaryless normal currents with a space-time normal current that connects the elements of the sequence with their limit. The space-time setting is distinguished from the classical case in that this connecting current has a time coordinate and thus constitutes a progressive-in-time way to deform an element of the sequence to the limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08360 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Space-Time Connectivity Theorem for Normal Currents Bonicatto, Paolo Rindler, Filip Turnbull, Harry Analysis of PDEs Functional Analysis 49Q15, 53C65 This work establishes a Space-Time Connectivity Theorem for normal currents. In analogy to classical results by Federer and Fleming as well as a recent theorem for integral currents by the second author, this result allows one to witness the weak* convergence of a uniformly bounded sequence of boundaryless normal currents with a space-time normal current that connects the elements of the sequence with their limit. The space-time setting is distinguished from the classical case in that this connecting current has a time coordinate and thus constitutes a progressive-in-time way to deform an element of the sequence to the limit. |
| title | The Space-Time Connectivity Theorem for Normal Currents |
| topic | Analysis of PDEs Functional Analysis 49Q15, 53C65 |
| url | https://arxiv.org/abs/2510.08360 |