Hilbert Grassmannians as classifying spaces

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dc.catalogadorgjm
dc.contributor.authorDe Nittis, Giuseppe
dc.contributor.authorGomi, Kiyonori
dc.contributor.authorGonzález Rendel, Santiago
dc.date.accessioned2025-07-25T16:59:32Z
dc.date.available2025-07-25T16:59:32Z
dc.date.issued2025
dc.description.abstractIn 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.
dc.format.extent19 páginas
dc.fuente.origenORCID
dc.identifier.doi10.48550/ARXIV.2503.20051
dc.identifier.urihttps://doi.org/10.48550/ARXIV.2503.20051
dc.identifier.urihttps://arxiv.org/abs/2503.20051
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/105032
dc.information.autorucFacultad de Matemáticas; De Nittis, Giuseppe; 0000-0001-6066-8625; 1019873
dc.information.autorucFacultad de Matemáticas; González Rendel, Santiago; S/I; 1064525
dc.language.isoen
dc.nota.accesocontenido parcial
dc.revistaarXiv
dc.rightsacceso restringido
dc.subjectHilbert Grassmannians
dc.subjectWeak topology
dc.subjectClassifying space
dc.subjectK-theory
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleHilbert Grassmannians as classifying spaces
dc.typepreprint
sipa.codpersvinculados1019873
sipa.codpersvinculados1064525
sipa.trazabilidadORCID;2025-07-21
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