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Universal Compact T1 -Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
For every infinite cardinal k we construct a space Ck universal for all compact T1 -spaces of weight ≤ k. It follows, in particular, that there are only 2k topologically different compact T1 -spaces. We show that Cw is universal for all second countable developable T1 -spaces. The existence of closely universal compact T1 -spaces is discussed.
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- Copyright © Canadian Mathematical Society 1992