대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제37권3호
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  • Pages.905-913
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  • 2022
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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METRIZABILITY AND SUBMETRIZABILITY FOR POINT-OPEN, OPEN-POINT AND BI-POINT-OPEN TOPOLOGIES ON C(X, Y)

  • 투고 : 2020.12.16
  • 심사 : 2021.12.24
  • 발행 : 2022.07.31
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초록

We characterize metrizability and submetrizability for point-open, open-point and bi-point-open topologies on C(X, Y), where C(X, Y) denotes the set of all continuous functions from space X to Y ; X is a completely regular space and Y is a locally convex space.

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과제정보

The authors are thankful to referee for valuable suggestions and comments which led to a considerable improvement of the earlier version of this paper.

참고문헌

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