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A note on some closure type properties in function spaces

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Abstract

We show that a group of three closure properties including theselectively Pytkeev property coincide on C_k(X) for a locallycompact X. We also introduce a new game characterization ofthese properties for such spaces.

참고문헌 (8)

  1. "Closure properties of functionspaces", 4(2), pp.255~261 (2003)
  2. "The Reznichenko property and the Pytkeev property inhyperspaces", 107(3), pp.225~233 (2005)
  3. "Function spaces and a property ofReznichenko", 123(1), pp.135~143 (2002)
  4. "Combinatorics of open covers (VII) Groupability", 179(2), pp.131~155 (2003)
  5. "Weakly Fr'echet-Urysohn and Pytkeev spaces", 104(1-3), pp.181~190 (2000)
  6. "Selectively stricty A-function spaces"
  7. "A selective version of the property of Reznichenko in functionspaces"
  8. "The Pytkeev property and the Reznichenko property in functionspaces", 22(2), pp.43~52 (2003)

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