- 期刊
REGULAR MEASURES AND NORMAL LATTICES
摘要
In this paper, we investigate M(L) in case L is a normal lattice of subsets of X and we extend the results to L_1, L_2-lattices of subsets of X such that L_1 □ L_2 and L_1 separates L_2. We define the outer measures μ' and μ'' which prove very useful in proving some of the above results.
延伸閱讀
- Grassi, P. M. (1991). MEASURE CHARACTERIZATIONS AND PROPERTIES OF NORMAL AND REGULAR LATTICES. International Journal of Mathematics and Mathematical Sciences, 1991(), 385-392. https://doi.org/10.1155/S0161171291000455
- PONNLEY, J. (1996). OUTER MEASURES, MEASURABILITY, AND LATTICE REGULAR MEASURES. International Journal of Mathematics and Mathematical Sciences, 1996(), 343-350. https://doi.org/10.1155/S0161171296000488
- Szeto, M. (1991). ON SEPARATION OF LATTICES. International Journal of Mathematics and Mathematical Sciences, 1991(), 325-338. https://doi.org/10.1155/S016117129100039X
- STRATIGOS, P. D. (1993). LATTICE NORMALITY AND OUTER MEASURES. International Journal of Mathematics and Mathematical Sciences, 1993(), 23-32. https://doi.org/10.1155/S016117129300002X
- SCHUTZ, R. W. (1992). ON NORMAL LATTICES AND SEPARATION AND SEMI-SEPARATION OF LATTICES. International Journal of Mathematics and Mathematical Sciences, 1992(), 83-90. https://doi.org/10.1155/S0161171292000097