2011/02/02 by Alex Chigogidze, Chigogidze, Alex
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #math.OA
paper · pdf · doi:10.48550/arxiv.1102.0523
arxiv created 2011/02/02 · openalex publication_date 2011/02/02 · arxiv updated 2011/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that for a map f \colon X → Y of compact spaces the unital ∗-homomorphism C(f) \colon C(Y) → C(X) is projective in the category Mor(\mathcal C1) precisely when X is a dendrite and f is either homeomorphism or a constant.