Open AccessEmbedding into discretely absolutely star-Lindelöf spaces II
Author(s) -
Yan-Kui Song
Publication year - 2009
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2009.1783
Subject(s) - mathematics , star (game theory) , countable set , hausdorff space , embedding , subspace topology , cover (algebra) , regular space , space (punctuation) , combinatorics , paracompact space , discrete mathematics , pure mathematics , mathematical analysis , computer science , mechanical engineering , artificial intelligence , engineering , operating system
A space X is discretely absolutely star-Lindelöf if for every open cover U of X and every dense subset D of X, there exists a countable subset F of D such that F is discrete closed in X and St(F, U) = X, where St(F, U) = S{U ∈ U : U ∩F 6= Ø}. We show that every Hausdorff star-Lindelöf space can be represented in a Hausdorff discretely absolutely star-Lindelöf space as a closed G-subspace
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