關(guān)于乘積空間理論及其應(yīng)用的一些注記.pdf

1、電子科技大學(xué)碩士學(xué)位論文關(guān)于乘積空間理論及其應(yīng)用的一些注記姓名：史國民申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：數(shù)學(xué)與應(yīng)用數(shù)學(xué)指導(dǎo)教師：朱培勇20100501ABSTRACTABSTRACTSince1969，KNagamistudiedtheproductoftwoparacompactspace，ithasbeensignificantimprovementthattheresearchofthetopologicalspaces’productwh

2、ichwasdescribedbycoveringEspeciallyinrecentyears，KChiba、YY旬imaandprespeiyongzhuhaveobtainedmanyverymanyandgoodresultsaboutTychonoffproduct，仃一productandtheinverselimitoftwoorinfiniteparacompactspace，metacompactspace，subme

3、tacompactspaceswhichweredescribedbycovetingSoitisanaturalquestionthatthefollowingissuesareraisedQuestion：doesthetopologicalspaceclass，suchasstronglyparacompactandultr’aparacompactwhicharestrongerthanparacompactandaredesc

4、ribedbycovetinghavetheresultsofproductsimilartotheweakcoverageThisarticleismainlytostudythisissueTwoequivalentcharacterizationsabouttheTychonoffproductofultraparacompactandgeneticultraparacompactspaceclassareasfollows：1)

5、letX=n磁tbe五ultraparacompact(hereditarilyultmparacompact)space，thenitisultraparacompact(hereditarilyultraparacompact)spaceifandonlyifn，eFX，is(hereditarilyultraparacompact)ultraparacompactspaceforeveryF∈[∑]。2)For彩‘ultrapar

6、acompact(hereditarilyultrapamcompact)spaceX=嘁，thefollowingsareequivalent：(1)Xisultraparacompact(hereditarilyultraparacompac0space；(2)VFe[co]塒，R藏isultraparacompact(hereditarilyultraparacompact)space；(3)Vn∈緲，魄找isultraparac

7、ompact(hereditarilyultraparacompaet)space；Inaddition，inthispaperSOITleresearchaboutproductspacetheoryintheapplicationoftopologicaldynamicalsystemswasdoneTworesultsaboutgeneralizedperiodicpoints(includingthecyclicpoints，t