The Topology Defined By SEB

In　this　paper,we　provide　a　new　topology　structure　of　SEB.There　are　three　chapters　in　this　paper.　In　the　first　chapter,we　give　some　definitions　about　fuzzy　math,toplogy　and　fuzzy　topology.The　second　chapter　is　the　major　content　of　this　paper.Firstly,we　give　t he　definitions　of　fuzzy　point　and　SEB　topology　and　we　point　out　the　relations　of　normal　topology　,　SEB　topology　and　fuzzy　topology　.On　the　base　of　the　definition　of　SEB　topology　,　we　give　the　definitions　of　two　neighbourhoods.In　these　two　neighbourhoods,we　give　the　definations　of　base　for　SEB　topology　and　subbase　for　it　and　we　disscuss　the　characters　of　them　and　we　prove　the　SEB　topology　on　X　which　can　be　defined　by　the　system　of　neighbourhood,base,subbase　repectively　is　unique　and　the　system　of　neighbourhood　of　this　topology　is　uniform　with　the　system　of　neighbourhood　of　the　previous　topology.Seconndly,　we　give　the　definitions　of　　internal　point,　internal　set　and　closure.After　that　we　discuss　the　characters　of　them.Finally　we　discuss　the　Moore—Smith　convergence　of　the　two　neighbourhoods.In　the　third　chapter,we　give　the　definitions　of　accumulation　point,adhere　point,derived　set,edge　point　in　the　two　neighbourhoods　and　discuss　the　characters　of　them.