2010/02/12 by Dániel T. Soukup, Soukup, Daniel
Mathematics · Medicine · #54A25 #54A35 #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Pituitary Gland Disorders and Treatments
paper · pdf · doi:10.48550/arxiv.1002.2585
openalex publication_date 2010/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Under (\diamondsuit^*) we construct a locally countable, locally compact, 0-dimensional T2 space X of size \omg which is aD however not even linearly D. This consistently answers a question of Arhangel'skii, whether aD implies D. Furthermore we answer two problems concerning characterization of linearly D-spaces, raised by Guo and Junnila.