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On smallest compactification for convergence spaces


Author: C. J. M. Rao
Journal: Proc. Amer. Math. Soc. 44 (1974), 225-230
MSC: Primary 54A20
DOI: https://doi.org/10.1090/S0002-9939-1974-0331301-8
MathSciNet review: 0331301
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Abstract: In this note we obtain necessary and sufficient conditions for a convergence space to have a smallest Hausdorff compactification and to have a smallest regular compactification.


References [Enhancements On Off] (What's this?)

  • [1] D. C. Kent, Convergence quotient maps, Fund. Math. 65 (1969), 197-205. MR 40 #3497. MR 0250258 (40:3497)
  • [2] D. C. Kent and G. D. Richardson, Minimal convergence spaces, Trans. Amer. Math. Soc. 160 (1971), 487-499. MR 44 #3279. MR 0286063 (44:3279)
  • [3] G. D. Richardson, A Stone-Čech compactification for limit spaces, Proc. Amer. Math. Soc. 25 (1970), 403-404. MR 41 #992. MR 0256336 (41:992)
  • [4] G. D. Richardson and D. C. Kent, Regular compactifications for convergence spaces, Proc. Amer. Math. Soc. 31 (1972), 571-573. MR 44 #3290. MR 0286074 (44:3290)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0331301-8
Keywords: Convergence space, Hausdorff, regular, locally compact, compact, compactification
Article copyright: © Copyright 1974 American Mathematical Society

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