Geodesic
Some addition theorems for rectifiable spaces
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2011), pp. 60-69

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We establish that if a compact Hausdorff space $B$ with the cardinality less than $2^{\omega_1}$ is represented as the union of two non-locally compact rectifiable subspaces $X$ and $Y$, then $X,Y$ and $B$ are separable and metrizable. 
@article{BASM_2011_2_a4,
     author = {Alexander V. Arhangel'skii and Mitrofan M. Choban},
     title = {Some addition theorems for rectifiable spaces},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {60--69},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2011_2_a4/}
}
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Alexander V. Arhangel'skii; Mitrofan M. Choban. Some addition theorems for rectifiable spaces. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2011), pp. 60-69. http://geodesic.mathdoc.fr/item/BASM_2011_2_a4/