2025/03/25 by Giuseppe De Nittis, De Nittis, Giuseppe, Kiyonori Gomi +3
Mathematics · #46L30 #55R45 #Advanced Topics in Algebra #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary: 14M15 #Secondary: 55R35
paper · pdf · doi:10.48550/arxiv.2503.20051
openalex publication_date 2025/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.