Geodesic
About remainders in compactifications of homogeneous spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 4, pp. 607-613

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We prove a dichotomy theorem for remainders in compactifications of homogeneous spaces: given a homogeneous space $X$, every remainder of $X$ is either realcompact and meager or Baire. In addition we show that two other recent dichotomy theorems for remainders of topological groups due to Arhangel'skii cannot be extended to homogeneous spaces.
We prove a dichotomy theorem for remainders in compactifications of homogeneous spaces: given a homogeneous space $X$, every remainder of $X$ is either realcompact and meager or Baire. In addition we show that two other recent dichotomy theorems for remainders of topological groups due to Arhangel'skii cannot be extended to homogeneous spaces.
Classification : 54A25, 54D35, 54D40, 54E52
Keywords: remainders in compactifications; homogeneous spaces 
Basile, D.; Bella, A. About remainders in compactifications of homogeneous spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 4, pp. 607-613. http://geodesic.mathdoc.fr/item/CMUC_2009_50_4_a9/
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     author = {Basile, D. and Bella, A.},
     title = {About remainders in compactifications of homogeneous spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {607--613},
     year = {2009},
     volume = {50},
     number = {4},
     mrnumber = {2583137},
     zbl = {1212.54087},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2009_50_4_a9/}
}
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