A note on Noetherian type of spaces

Soukup, Lajos (2010) A note on Noetherian type of spaces. (Unpublished)

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Abstract

The Noetherian type of a space , , is the least cardinal such that has a base such that for each . Denote by the space obtained from by declaring the sets to be open. Milovich proved that if holds and then .
Answering a question of Spadaro, we show that if and the Chang Conjecture holds for , then .

Item Type: Research Paper Noetherian type, Chang Conjecture, large cardinals, $G_\delta$ topology 03E35 Consistency and independence results Research Divisions > Set theory and general topology 29 Mar 2010 15:20

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