Geodesic
Minimal embeddings of topological spaces into the real line
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 174-181

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A theorem describing $\mathbb R$-minimal topological spaces is proved. These are spaces $(X,\tau)$ topologically embeddable into the real line $\mathbb R$ and not possessing this property under the replacement of $\tau$ by a weaker topology. 
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     author = {M. A. Patrakeev},
     title = {Minimal embeddings of topological spaces into the real line},
     journal = {Trudy Instituta matematiki i mehaniki},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a15/}
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M. A. Patrakeev. Minimal embeddings of topological spaces into the real line. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 174-181. http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a15/