L-拓撲空間和I-fuzzy拓撲空間的次分離公理.pdf

1、中國海洋大學(xué)碩士學(xué)位論文L拓撲空間和Ifuzzy拓撲空間的次分離公理姓名：姜翠美申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：方進明20070601SubseparationaxiomsinL—topologicalspacesand／fuzzytopologicalspacesAbstractSeparationisallessentialnotionintopologyThetopologicalspaceswithInallykind

2、sofdifferentseparationnotonlyformdifferentspacesclassestheoreticallyatthesametime，itisbutalsoattendbytherelevant8ubjectsoftopologybecatvseofitscorrelativeappliationtoothersubjectsTheaimofthispaperistostudytheseparationin

3、Ltopologyand／fuzzytopologyrespectivelyInLtopologyweintroducethesubseparationaxiomsincludingsub一丑，subT2，subT2；，subTsandsubT4In／fuzzytopology，weestablishsubT1andsubT2axiomsThepaperisorganizedasfollows：Thefirstsectionispref

4、aceTheauthorintroducesbackgroundofseparationaxiomsintopologyandthedevelopmentofseparationaxiomsinLtopologyandLfuz巧topoloo舒，andgivestheproblemstobesolvedThesecondsectionisaboutsubseparationaxiomsinLtopologicalspacesWeintr

5、oducethesubseparationaxiomsincludingsub％，subT2，sub一正5，subT3andsubT4AndsomenicepropertiesofsubseparationaxiomsareprovedForexample，theyarehereditaryandproductinvariant，。Lgoodextension”inLowen’ssense，andthelimitofmolecularn

6、etsissoleunderacertainconditionforthesubT2spaceInaddition，therelationbetweenthesubseparationaxiomsdefinedinthepaperandotherseparationaxiomsisalsodiscussedThethirdsectionisaboutsubseparationaxiomsinIfIlzwtopologicalspaces