Hilbert Grassmannians as classifying spaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915213672972288 |
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| author | De Nittis, Giuseppe Gomi, Kiyonori Rendel, Santiago |
| author_facet | De Nittis, Giuseppe Gomi, Kiyonori Rendel, Santiago |
| contents | In this short work we prove that the Hilbert Grassmannians endowed with the weak topology are models for the classifying spaces of the unitary groups. As application of this result one can use Hilbert Grassmannians for the presentation of the $K$-theory of topological spaces by computing equivalences classes of homotopy equivalent maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20051 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hilbert Grassmannians as classifying spaces De Nittis, Giuseppe Gomi, Kiyonori Rendel, Santiago Mathematical Physics Primary: 14M15, Secondary: 55R35, 55R45, 46L30 In this short work we prove that the Hilbert Grassmannians endowed with the weak topology are models for the classifying spaces of the unitary groups. As application of this result one can use Hilbert Grassmannians for the presentation of the $K$-theory of topological spaces by computing equivalences classes of homotopy equivalent maps. |
| title | Hilbert Grassmannians as classifying spaces |
| topic | Mathematical Physics Primary: 14M15, Secondary: 55R35, 55R45, 46L30 |
| url | https://arxiv.org/abs/2503.20051 |