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Remarks on absolutely star-Lindelof spaces

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Abstract

Vaughan proved that if X is countably compact, thenthe Alexandroff duplicate A(X) is acc.In this note, we give an example to show that the result can notbe generalized to star-Lindel{"o}f spaces. Moreover, we give apositive result.

참고문헌 (6)

  1. M. Bonanzinga, "paper Star-Lindel{\"o}f and absolutely star-Lindel{\"o}f spaces", 16, pp.79~104 (1998)
  2. "Dai \paper A class of topological spaces containing Lindel{\"
  3. "A survey on star-covering properties", (330), pp.330~ (1998)
  4. "paper How weak is weak extent?", pp.229~232 (2002)
  5. "Mr{\'o}wka \paper On completely regular spaces \jour Fund"
  6. "paper Absolute countable compactness and property $(a)", pp.18~24 (1996)

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