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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.7 No.1

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REGULAR CLOSED BOOLEAN ALGEBRA IN SPACE WITH ONE POINT LINDELOFFICATION TOPOLOGY

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2000, v.7 no.1, pp.61-69
Gao, Shang-Min
Gao, Shang-Min. (2000). REGULAR CLOSED BOOLEAN ALGEBRA IN SPACE WITH ONE POINT LINDELOFFICATION TOPOLOGY, 7(1), 61-69.

Abstract

Let($X^{\ast},\tau^{\ast}$) be the space with one point Lindeloffication topology of space (X,$\tau$). This paper offers the definition of the space with one point Lin-deloffication topology of a topological space and proves that the retraction regu-lar closed function f: $K^{\ast}(X^{\ast}$) defined f($A^{\ast})=A^{\ast}$ if p $\in A^{\ast}$ or ($f(A^{\ast})=A^{\ast}-{p}$ if $p \in A^{\ast}$ is a homomorphism. There are two examples in this paper to show that the retraction regular closed function f is neither a surjection nor an injection.

keywords
one point Lindeloffication topolgy, regular closed Boolean algebran, retraction regular closed function, half-disc topology

한국수학교육학회지시리즈B:순수및응용수학

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