Title of article :
Different versions of a first countable space without choice
Author/Authors :
Keremedis، نويسنده , , Kyriakos and Tachtsis، نويسنده , , Eleftherios، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2009
Abstract :
We show that two versions of a first countable topological space which are equivalent in ZFC set theory split in the absence of the Axiom of Choice AC. This answers in the negative a related question from Gutierres “What is a first countable space?”.
Keywords :
First countable topological spaces , Independence results , Weak axioms of choice , AXIOM OF CHOICE
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
