On Hausdorff compactifications of non-locally compact spaces
1979 ◽
Vol 2
(3)
◽
pp. 481-486
Keyword(s):
LetXbe a completely regular, Hausdorff space and letRbe the set of points inXwhich do not possess compact neighborhoods. AssumeRis compact. IfXhas a compactification with a countable remainder, then so does the quotientX/R, and a countable compactificatlon ofX/Rimplies one forX−R. A characterization of whenX/Rhas a compactification with a countable remainder is obtained. Examples show that the above implications cannot be reversed.
1960 ◽
Vol 12
◽
pp. 353-362
◽
1974 ◽
Vol 26
(4)
◽
pp. 920-930
◽
2018 ◽
Vol 70
(1)
◽
pp. 74-96
◽
2002 ◽
Vol 121
(1-2)
◽
pp. 91-104
◽
2005 ◽
Vol 57
(6)
◽
pp. 1121-1138
◽
Keyword(s):
1984 ◽
Vol 138
(1)
◽
pp. 191-210