摘要
A topology on the state set of an automaton is considered and it is shown that under this topology, genetically closed subsets and primaries, in the sense of Bavel [1] turn out to be precisely the regular closed subsets and minimal regular closed subsets respectively. The concept of a compact automaton is introduced and it is indicated that it can be viewed as a generalization of a finite automaton. Included also is an observation showing that our topological considerations can help recover some of the results of Dorfler [2].
延伸閱讀
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- 康祐嘉（2012）。An Integrated Method of Moving Asymptotes and Fuzzy Theory for Multi-objective Topology Optimization〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2012.00295
- Nakassis, A. (1980). A TOPOLOGICAL PROPERTY OF β(N). International Journal of Mathematics and Mathematical Sciences, 1980(), 713-717. https://doi.org/10.1155/S0161171280000518
- 黃琮翰（2009）。Topology Optimization Considering Randomness of Design Variables〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2009.00664
- 何明翰（2010）。Probabilistic Approach of Topology Optimization〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2010.00557