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Disasters in topology without the axiom of choice
Archive for Mathematical Logic 40 (8):569-580 (2001)
Abstract
We show that some well known theorems in topology may not be true without the axiom of choiceOther Versions
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Citations of this work
Pincherle's theorem in reverse mathematics and computability theory.Dag Normann & Sam Sanders - 2020 - Annals of Pure and Applied Logic 171 (5):102788.
The failure of the axiom of choice implies unrest in the theory of Lindelöf metric spaces.Kyriakos Keremedis - 2003 - Mathematical Logic Quarterly 49 (2):179-186.
Countable products and countable direct sums of compact metrizable spaces in the absence of the Axiom of Choice.Kyriakos Keremedis, Eleftherios Tachtsis & Eliza Wajch - 2023 - Annals of Pure and Applied Logic 174 (7):103283.
Reverse Mathematics of Topology: Dimension, Paracompactness, and Splittings.Sam Sanders - 2020 - Notre Dame Journal of Formal Logic 61 (4):537-559.
Some weak forms of the Baire category theorem.Kyriakos Kermedis - 2003 - Mathematical Logic Quarterly 49 (4):369.
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