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Products of compact spaces and the axiom of choice II |
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| Authors: | Omar De la Cruz Eric Hall Paul Howard Kyriakos Keremedis Jean E Rubin |
| Abstract: | This is a continuation of 2]. We study the Tychonoff Compactness Theorem for various definitions of compactness and for various types of spaces (first and second countable spaces, Hausdorff spaces, and subspaces of ?K). We also study well ordered Tychonoff products and the effect that the multiple choice axiom has on such products. |
| Keywords: | First countable second countable Hausdorff space Tychonoff‐product compact spaces axiom of choice axiom of multiple choice |