Geodesic
Continuous Preimages of Spaces with Finite Compactifications
Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 177-180

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A compactification αX of the space X is called an n -point compactification if the remainder αX — X consists of exactly n points. K. D. Magill [5] showed that if Y has an n-point compactification and if f:X→ f(x) = Y is a compact continuous mapping of the space X onto Y, then X also has an n-point compactification. 
Jr., George L. Cain. Continuous Preimages of Spaces with Finite Compactifications. Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 177-180. doi: 10.4153/CMB-1981-028-2
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     title = {Continuous {Preimages} of {Spaces} with {Finite} {Compactifications}},
     journal = {Canadian mathematical bulletin},
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     year = {1981},
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     doi = {10.4153/CMB-1981-028-2},
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