Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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EXAMPLES AND FUNCTION THEOREMS AROUND AP AND WAP SPACES

  • Cho, Myung-Hyun (DEPARTMENT OF MATHEMATICS EDUCATION WONKWANG UNIVERSITY) ;
  • Kim, Jun-Hui (DIVISION OF MATHEMATICS INFORMATIONAL STATISTICS WONKWANG UNIVERSITY) ;
  • Moon, Mi-Ae (DIVISION OF MATHEMATICS INFORMATIONAL STATISTICS WONKWANG UNIVERSITY)
  • Published : 2008.07.31
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Abstract

We provide some examples around AP and WAP spaces which are connected with higher convergence properties-radiality, semiradiality and pseudoradiality. We also prove a theorem (Theorem 3.2) that (a) any pseudo-open continuous image of an AP-space is an AP-space and (b) any pseudo-open continuous image of an WAP-space is an WAP-space. This answers the question posed by V. V. Tkachuk and I. V. Yaschenko [10].

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References

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