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- Morita_conjectures abstract "The Morita conjectures in general topology are certain problems about normal spaces, now solved in the affirmative. They asked If X × Y is normal for every normal space Y, is X discrete? If X × Y is normal for every normal P-space Y, is X metrizable? If X × Y is normal for every normal countably paracompact space Y, is X metrizable and sigma-locally compact?The answers were believed to be affirmative. Here a normal P-space Y is characterised by the property that the product with every metrizable X is normal; thus the conjecture was that the converse holds.K. Chiba, T.C. Przymusiński and M.E. Rudin proved conjecture (1) and showed that conjectures (2) and (3) cannot be proven false under the standard ZFC axioms for mathematics (specifically that the conjectures hold under the axiom of constructibility V=L). Fifteen years later, Z. Balogh succeeded in proving conjectures (2) and (3) true.".
- Morita_conjectures wikiPageExternalLink morita.pdf.
- Morita_conjectures wikiPageID "12034549".
- Morita_conjectures wikiPageLength "1951".
- Morita_conjectures wikiPageOutDegree "14".
- Morita_conjectures wikiPageRevisionID "645641369".
- Morita_conjectures wikiPageWikiLink Axiom_of_constructibility.
- Morita_conjectures wikiPageWikiLink Birge_Huisgen-Zimmermann.
- Morita_conjectures wikiPageWikiLink Category:Conjectures.
- Morita_conjectures wikiPageWikiLink Category:Topology.
- Morita_conjectures wikiPageWikiLink Discrete_space.
- Morita_conjectures wikiPageWikiLink General_topology.
- Morita_conjectures wikiPageWikiLink Kiiti_Morita.
- Morita_conjectures wikiPageWikiLink Mary_Ellen_Rudin.
- Morita_conjectures wikiPageWikiLink Metrizable.
- Morita_conjectures wikiPageWikiLink Metrization_theorem.
- Morita_conjectures wikiPageWikiLink Normal_space.
- Morita_conjectures wikiPageWikiLink Paracompact.
- Morita_conjectures wikiPageWikiLink Paracompact_space.
- Morita_conjectures wikiPageWikiLink Sigma-locally_compact.
- Morita_conjectures wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Morita_conjectures wikiPageWikiLink Zoltán_Tibor_Balogh.
- Morita_conjectures wikiPageWikiLink Σ-compact_space.
- Morita_conjectures wikiPageWikiLinkText "Morita conjecture".
- Morita_conjectures wikiPageWikiLinkText "Morita conjectures".
- Morita_conjectures wikiPageWikiLinkText "his (now solved) conjectures".
- Morita_conjectures hasPhotoCollection Morita_conjectures.
- Morita_conjectures wikiPageUsesTemplate Template:Topology-stub.
- Morita_conjectures subject Category:Conjectures.
- Morita_conjectures subject Category:Topology.
- Morita_conjectures hypernym Problems.
- Morita_conjectures type Disease.
- Morita_conjectures type Conjecture.
- Morita_conjectures type Field.
- Morita_conjectures type Statement.
- Morita_conjectures type Statement.
- Morita_conjectures comment "The Morita conjectures in general topology are certain problems about normal spaces, now solved in the affirmative. They asked If X × Y is normal for every normal space Y, is X discrete? If X × Y is normal for every normal P-space Y, is X metrizable? If X × Y is normal for every normal countably paracompact space Y, is X metrizable and sigma-locally compact?The answers were believed to be affirmative.".
- Morita_conjectures label "Morita conjectures".
- Morita_conjectures sameAs تخمينات_موريتا.
- Morita_conjectures sameAs Hipotezy_Mority.
- Morita_conjectures sameAs m.02vmmk5.
- Morita_conjectures sameAs Q6912365.
- Morita_conjectures sameAs Q6912365.
- Morita_conjectures wasDerivedFrom Morita_conjectures?oldid=645641369.
- Morita_conjectures isPrimaryTopicOf Morita_conjectures.