The Baire property in remainders
of topologialgroups and other results
Comment.Math.Univ.Carolin. 50,2 (2009)273{279.
Abstrat:Itis establishedthataremainderofanon-loallyompattopologialgroup
GhastheBairepropertyifandonlyifthespaeGisnot
Ceh-omplete. Wealsoshow
thatifGisanon-loallyompattopologialgroupofountabletightness,theneitherG
issubmetrizable,or Gisthe
Ceh-StoneremainderofanarbitraryremainderY ofG. It
follows thatifGand Hare non-submetrizabletopologialgroupsofountabletightness
suhthatsomeremaindersofGandHarehomeomorphi,thenthespaesGandH are
homeomorphi. Someotherorollaries andrelatedresultsarepresented.
Keywords: Baire property, -ompat,
Ceh-omplete spae, ompatiation,
Ceh-
Stoneompatiation,Rajkovomplete,paraompatp-spae
AMSSubjetClassiation:Primary54H11,54H15;Seondary54B05
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