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LINDELÄOFICATION OF BIFRAMES

강미경
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2008.09|한국수학논문집 (Korean Journal of Mathematics)|제16권 제3호|pp. 379-388

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참고문헌

키워드

biframeLindelÄof biframeLindelÄo¯cationcountably strong inclusion¾-idealcountably approximating biframe.
주제분류수학

초록

We introduce countably strong inclusions / = (/1; /2) on a biframe L = (L0; L1; L2) and i-strongly regular ¾-ideals (i = 1; 2) and then using them, we construct biframe LindelÄo¯cation of L. Furthermore, we obtain a su±cient condition for which L has a unique countably strong inclusion.

Abstract

We introduce countably strong inclusions / = (/1; /2) on a biframe L = (L0; L1; L2) and i-strongly regular ¾-ideals (i = 1; 2) and then using them, we construct biframe LindelÄo¯cation of L. Furthermore, we obtain a su±cient condition for which L has a unique countably strong inclusion.

참고문헌 (11)

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  2. B. Banaschewski, "Frames and compacti¯cations, Extension theory of topological structures and its applications", pp.29~33 (1969), Deutscher Verlag der Wissenschaften
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  4. B. Banaschewski, "Biframes and bispaces", Quaestiones Math, 6, pp.13~25 (1983)
  5. B. Banaschewski, "Stone- · Cech compacti¯cation of locales I", Houston J. Math, 6, pp.301~312 (1980)
  6. X. Chen, "Closed homomorphism", 박사, pp.1991
  7. G. Gierz, "A compendium of continuous lattices" (1980), Springer-Verlag
  8. J. R. Isbell, "Atomless parts of locales", Math. Scand, 31, pp.5~32 (1972)
  9. P. T. Johnstone, "Stone spaces" (1982), Cambridge Univ. Press
  10. M. K. Khang, "LindelÄo¯cation of Frames", Kangweon-Kyungki Math. Jour, 15(2), pp.87~100 (2007)
  11. S. O. Lee, "On countably approximating lattices", J. Korean Math Soc, 25(1), pp.11~23 (1988)

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