- 期刊
ON LATTICE-TOPOLOGICAL PROPERTIES OF GENERAL WALLMAN SPACES
摘要
Let X be an arbitrary set and □ a lattice of subsets of X such that Ø,X ∈□. ..A(□) is the algebra generated by and I() consists of all zero-one valued finitely additive measures on A(□) Various subsets of I(□) are considered and certain lattices are investigated as well as the topology of closed sets generated by them. The lattices are investigated for normality, regularity, repleteness and completeness. The topologies are similarly discussed for various properties such as T2 and Lindelof
延伸閱讀
- ALLAN, J. A. (1996). TOPOLOGICAL PROPERTIES OF GENERALIZED WALLMAN SPACES AND LATTICE RELATIONS. International Journal of Mathematics and Mathematical Sciences, 1996(), 717-722. https://doi.org/10.1155/S0161171296000981
- 張智豪（2018）。Symmetry analysis on topological materials〔博士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU201803955
- Demiriz, S., & Çakan, C. (2011). Some Topological and Geometrical Properties of a New Difference Sequence Space. Abstract and Applied Analysis, (2011), 588-601. https://doi.org/10.1155/2011/213878
- GUPTA, M., & KAUSHAL, K. (1995). TOPOLOGICAL PROPERTIES AND MATRIX TRANSFORMATIONS OF CERTAIN ORDERED GENERALIZED SEQUENCE SPACES. International Journal of Mathematics and Mathematical Sciences, 1995(), 341-356. https://doi.org/10.1155/S0161171295000433
- WIBISONO, S. (1997). OUTER MEASURE ANALYSIS OF TOPOLOGICAL LATTICE PROPERTIES. International Journal of Mathematics and Mathematical Sciences, 1997(), 279-291. https://doi.org/10.1155/S0161171297000380