Versions of Normality and Some Weak Forms of the Axiom of Choice

Abstract. We investigate the set theoretical strength of some properties of normality, including Urysohn’s Lemma, Tietze-Urysohn Extension Theorem, normality of disjoint unions of normal spaces, and normality of Fσ subsets of normal spaces.

• Type: Journal
• Year: 1998
• Where: MLQ
• Authors: Paul E. Howard, Kyriakos Keremedis, Herman Rubin, Jean E. Rubin
• Keywords: MLQ 1998, Normal Spaces, Set Theoretical Strength, Tietze-Urysohn Extension Theorem