摘要: Abstract The topology τ of a space is enlarged to τ* using an ideal P whose members are disjoint with the τ. Many relations between topological concepts respect and obtained. For example have identical classes dense (pre-open) subsets, semi- T i , i∈{0,1,2} R i∈{0,1} semi-T′2 preserved from vice versa. Preservation some sorts compactness closeness discussed.
harvard.edu
elsevier.com
sci-hub.se 参考文章(14)
S. Crossley, S. Hildebrand, Semi-topological properties Fundamenta Mathematicae. ,vol. 74, pp. 233- 254 ,(1972) , 10.4064/FM-74-3-233-254
Douglas E. Cameron, Properties of $S$-closed spaces Proceedings of the American Mathematical Society. ,vol. 72, pp. 581- 586 ,(1978) , 10.1090/S0002-9939-1978-0514999-4
Edwin Hewitt, A problem of set-theoretic topology Duke Mathematical Journal. ,vol. 10, pp. 309- 333 ,(1943) , 10.1215/S0012-7094-43-01029-4
Travis Thompson, S-CLOSED SPACES Proceedings of the American Mathematical Society. ,vol. 60, pp. 335- 335 ,(1976) , 10.1090/S0002-9939-1976-0425899-0
Jingcheng Tong, A decomposition of continuity Acta Mathematica Hungarica. ,vol. 48, pp. 11- 15 ,(1986) , 10.1007/BF01949045
Douglas Cameron, A class of maximal topologies Pacific Journal of Mathematics. ,vol. 70, pp. 101- 104 ,(1977) , 10.2140/PJM.1977.70.101
Hiroshi Hashimoto, On the *topology and its application Fundamenta Mathematicae. ,vol. 91, pp. 5- 10 ,(1976) , 10.4064/FM-91-1-5-10
Dragan Jankovic, T. R. Hamlet, New topologies from old via ideals American Mathematical Monthly. ,vol. 97, pp. 295- 310 ,(1990) , 10.2307/2324512
Norman Levine, Semi-Open Sets and Semi-Continuity in Topological Spaces American Mathematical Monthly. ,vol. 70, pp. 36- 41 ,(1963) , 10.1080/00029890.1963.11990039
Olav Njȧstad, On some classes of nearly open sets Pacific Journal of Mathematics. ,vol. 15, pp. 961- 970 ,(1965) , 10.2140/PJM.1965.15.961