正規(guī)可遮空間和正規(guī)弱θ-可加空間的性質研究.pdf

1、成都理工大學碩士學位論文正規(guī)可遮空間和正規(guī)弱θ可加空間的性質研究姓名：康素玲申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：曹金文魏貴民20070501墮塑堡!；盔蘭堡蘭笪笙奎ABSTRACTInthispaper，aseriesofpropertiesofnormalscreenablespacesandnormalandweakly_arefinablespacesaregivenItisprovedemphasizelythat：The

2、oremlLetx=II“二x，be五一paracompact，Ixl=五，thenitisnormral(。screenablespaceiffn—eFz—isn。rmalscreenablespaceforeveryF∈fxl枷1。Theorem2ForcountableparacompaceX=17刪置，thefollowin2sareequivalent：(1)Xisn。rmalscreenablespace；(2)VF∈I∑】

3、柚，兀。二zisnormalscreenablespace；(3)Vn∈腳，11，自“IisnormalscreenablenPTheorem3LetX2li。mⅣ，，萬；，A)，IAI2A，andevery冗口：X_X，beopenandontomapping，01、ifXis小paracompactandeveryX，isnormalandweakly芝一refinable，thenXisnormalandweakly芝一refin

4、able；(2)ifXishereditarily九。paracompactandeveryX，ishereditarilynormalandhereditarilyweakly旦一refinabte，thenXishereditarilynormalandhereditarilyweakly芝一refinableTheorem4(1)IfXismetacompactandthecountableunionofclosedbase—me