Geodesic
If it looks and smells like the reals...
Fundamenta Mathematicae, Tome 163 (2000) no. 1, pp. 1-11.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Given a topological space 〈X,T〉 ∈ M, an elementary submodel of set theory, we define $X_M$ to be X ∩ M with topology generated by {U ∩ M:U ∈ T ∩ M}. We prove that if $X_M$ is homeomorphic to ℝ, then $X = X_M$. The same holds for arbitrary locally compact uncountable separable metric spaces, but is independent of ZFC if "local compactness" is omitted.
DOI : 10.4064/fm-163-1-1-11
Keywords: elementary submodel, real line, locally compact separable metric space

Franklin Tall 1

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Franklin Tall. If it looks and smells like the reals.... Fundamenta Mathematicae, Tome 163 (2000) no. 1, pp. 1-11. doi : 10.4064/fm-163-1-1-11. http://geodesic.mathdoc.fr/articles/10.4064/fm-163-1-1-11/

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