Constructing aD, non-D-spaces

Autor: Dániel T. Soukup
Rok vydání: 2011
Předmět:
Zdroj: Topology and its Applications. 158(10):1219-1225
ISSN: 0166-8641
DOI: 10.1016/j.topol.2011.04.008
Popis: We introduce a general method to construct 0-dimensional, scattered T2 spaces which are not linearly D. The construction is used to show that there are aD, non-D-spaces, answering a question of Arhangelʼskii. The latter example is achieved using Shelahʼs club guessing principles.
Databáze: OpenAIRE