abel范疇與abel群層范疇中的pullback及pushout

1、廈門大學(xué)碩士學(xué)位論文Abel范疇與Abel群層范疇中的pullback及pushout姓名：林秋林申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：林亞南20090501Abel范疇與Abel群層范疇中的pullbackiiAbstractThisdissertationcontainstwoparts：PullbackandZassenhausLemmainAbeliancategories，Pullbackandpushoutintheca

2、tegoriesofsheavesofAbeliangroupsInthesecondchapter，usingthepropertiesofpullbackintheAbeliancategories，weprovetheZassenhausLemmainAbehancategories，andthenweprovetheJordanH61derTheoreminAbeliancategoriesInthethirdchapter：w

3、edescriptsthecharacterizationofpullbackinthecategoriesofsheavesofAbefiangroupsonatopologicalspaceX，andwealsodescriptsthecharacterizationofpushoutbyusinganadjointpairsinthecategoriesofthesheavesofAbeliangroupsMeanwhilewes

4、howthatif(廠；Q，p)isthepullbackof(p沙；冗)then(^廠；^Q，^p)isthepullbackof(六妒，六砂；丘稈)；andif(pf，：H)isthepushoutof(廠；Ot，p)：then(，_1妒，／1砂；，一17Lf)isthepushoutoff廠1廠；f一1Q，f一1p)Keywords：Abeliancategories；categoriesofsheavesofAbeliangro