Geodesic
The Generalization of ``Aleksandrov’s Dublicate'' of Sorgenfrey Line and Set Rational Points
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2008), pp. 67-71

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In this paper we consider the generalization of wellknown “Aleksandrov’s dublicate”. It is proved, that $X\times n$ and $X\times m$ are not homeomorphic for Sorgenfrey line $X$ and for different integers $n$, $m$. If $X$ is the rationals, then $X\times n$ and $X\times m$ are homeomorphic for all integers $n$ and $m$.
Keywords: Aleksandrov’s dublicate, Sorgenfrey line. 
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     author = {T. E. Khmyleva},
     title = {The {Generalization} of {``Aleksandrov{\textquoteright}s} {Dublicate''} of {Sorgenfrey} {Line} and {Set} {Rational} {Points}},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {67--71},
     publisher = {mathdoc},
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T. E. Khmyleva. The Generalization of ``Aleksandrov’s Dublicate'' of Sorgenfrey Line and Set Rational Points. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2008), pp. 67-71. http://geodesic.mathdoc.fr/item/VTGU_2008_2_a8/