Abstract
A theorem describing ℝ-minimal topological spaces is proved. These are spaces (X, τ) topologically embeddable into the real line ℝ and not possessing this property under the replacement of τ by a weaker topology.
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References
A. Dold, Lectures on Algebraic Topology (Springer-Verlag, Berlin, 1972; Mir, Moscow, 1976).
R. Engelking, General Topology (PWN, Warszawa, 1976; Mir, Moscow, 1986).
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Original Russian Text © M.A. Patrakeev, 2008, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Vol. 14, No. 2.
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Patrakeev, M.A. Minimal embeddings of topological spaces into the real line. Proc. Steklov Inst. Math. 263 (Suppl 2), 172–180 (2008). https://doi.org/10.1134/S0081543808060151
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DOI: https://doi.org/10.1134/S0081543808060151