2010/05/01 by Vesko Valov, Valov, Vesko · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN) #Primary 54C10 #Secondary 54F65 #math.GN #msc:54C10 #msc:54F65
paper · pdf · doi:10.48550/arxiv.1005.0074
17 pages
openalex publication_date 2010/05/01 · arxiv created 2010/08/17 · arxiv updated 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide both a spectral and an internal characterizations of arbitrary I-favorable spaces with respect to co-zero sets. As a corollary we establish that any product of compact I-favorable spaces with respect to co-zero sets is also I-favorable with respect to co-zero sets. We also prove that every C*-embedded I-favorable with respect to co-zero sets subspace of an extremally disconnected space is extremally disconnected.