An irrational problem
Franklin D. Tall
Fundamenta Mathematicae, Tome 173 (2002), p. 259-269 / Harvested from The Polish Digital Mathematics Library
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Given a topological space ⟨X,⟩ ∈ M, an elementary submodel of set theory, we define XM to be X ∩ M with topology generated by U∩M:U∈∩M. Suppose XM is homeomorphic to the irrationals; must X=XM? We have partial results. We also answer a question of Gruenhage by showing that if XM is homeomorphic to the “Long Cantor Set”, then X=XM.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:282913 
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Franklin D. Tall. An irrational problem. Fundamenta Mathematicae, Tome 173 (2002) pp. 259-269. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm175-3-3/