Spaces which are generated by discrete sets.

DOI10.1016/S0166-8641(03)00156-1zbMath1050.54001MaRDI QIDQ1421967

Petr Simon, Angelo Bella

Publication date: 3 February 2004

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

countable compactnesspseudocompactnessremote pointfan tightnesspseudoradial spacesdiscretely and weakly discretely generated setsLindelöf P-spaces

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological groups (topological aspects) (54H11) Topological spaces and generalizations (closure spaces, etc.) (54A05)

Related Items

On products of discretely generated spaces, A note on products of (weakly) discretely generated spaces, When is a \(P\)-space weakly discretely generated?, The degree of weakly discretely generated spaces, A nodec regular analytic topology, In memoriam: Petr Simon (1944--2018), Examples from trees, related to discrete subsets, pseudo-radiality and \(\omega \)-boundedness, Maximal topologies with respect to a family of discrete subsets, A regular non-weakly discretely generated \(P\)-space

Cites Work

• Applications of maximal topologies
• Set theory. An introduction to independence proofs
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• Countably Compact, Locally Countable T 2 -Spaces
• On subspaces of pseudoradial spaces
• Pseudocompact Whyburn spaces need not be Fréchet
• Remote Points in βR
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