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- Sub-Stonean_space abstract "In topology, a sub-Stonean space is a locally compact Hausdorff space such that any two open σ-compact disjoint subsets have disjoint compact closures. Related, an F-space, introduced by Gillman & Henriksen (1956), is a completely regular Hausdorff space for which every finitely generated ideal of the ring of real-valued continuous functions is principal, or equivalently every real-valued continuous function f can be written as f = g |f| for some real-valued continuous function g. When dealing with compact spaces, the two concepts are the same, but in general, the concepts are different. The relationship between the sub-Stonean spaces and F-space is studied in Henriksen and Woods, 1989.".
- Sub-Stonean_space wikiPageID "30727217".
- Sub-Stonean_space wikiPageLength "2143".
- Sub-Stonean_space wikiPageOutDegree "14".
- Sub-Stonean_space wikiPageRevisionID "653254267".
- Sub-Stonean_space wikiPageWikiLink Annals_of_the_New_York_Academy_of_Sciences.
- Sub-Stonean_space wikiPageWikiLink Category:Properties_of_topological_spaces.
- Sub-Stonean_space wikiPageWikiLink Compact_space.
- Sub-Stonean_space wikiPageWikiLink Corona_set.
- Sub-Stonean_space wikiPageWikiLink Extremally_disconnected_space.
- Sub-Stonean_space wikiPageWikiLink Hausdorff_space.
- Sub-Stonean_space wikiPageWikiLink Ideal_(ring_theory).
- Sub-Stonean_space wikiPageWikiLink Locally_compact_space.
- Sub-Stonean_space wikiPageWikiLink Principal_ideal.
- Sub-Stonean_space wikiPageWikiLink Rickart_space.
- Sub-Stonean_space wikiPageWikiLink Topology.
- Sub-Stonean_space wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Sub-Stonean_space wikiPageWikiLink Tychonoff_space.
- Sub-Stonean_space wikiPageWikiLink Σ-compact_space.
- Sub-Stonean_space wikiPageWikiLinkText "sub-Stonean space".
- Sub-Stonean_space hasPhotoCollection Sub-Stonean_space.
- Sub-Stonean_space wikiPageUsesTemplate Template:Citation.
- Sub-Stonean_space wikiPageUsesTemplate Template:Harvtxt.
- Sub-Stonean_space subject Category:Properties_of_topological_spaces.
- Sub-Stonean_space type Property.
- Sub-Stonean_space type Space.
- Sub-Stonean_space comment "In topology, a sub-Stonean space is a locally compact Hausdorff space such that any two open σ-compact disjoint subsets have disjoint compact closures. Related, an F-space, introduced by Gillman & Henriksen (1956), is a completely regular Hausdorff space for which every finitely generated ideal of the ring of real-valued continuous functions is principal, or equivalently every real-valued continuous function f can be written as f = g |f| for some real-valued continuous function g.".
- Sub-Stonean_space label "Sub-Stonean space".
- Sub-Stonean_space sameAs m.0gfdv8t.
- Sub-Stonean_space sameAs Q7630591.
- Sub-Stonean_space sameAs Q7630591.
- Sub-Stonean_space wasDerivedFrom Sub-Stonean_space?oldid=653254267.
- Sub-Stonean_space isPrimaryTopicOf Sub-Stonean_space.