Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON COCYCLIC MAPS AND COCATEGORY

  • Yoon, Yeon Soo (Department of Mathematics Education Hannam University)
  • Received : 2011.02.16
  • Accepted : 2011.03.04
  • Published : 2011.03.30
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Abstract

It is known [5] that the concepts of $C_k$-spaces and those can be characterized using by the Gottlieb sets and the LS category of spaces as follows; A space X is a $C_k$-space if and only if the Gottlieb set G(Z, X) = [Z, X] for any space Z with cat $Z{\leq}k$. In this paper, we introduce a dual concept of $C_k$-space and obtain a dual result of the above result using the dual Gottlieb set and the dual LS category.

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References

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