计算机工程与应用Issue(10)：57-60,4.DOI:10.3778/j.issn.1002-8331.1310-0241
满层L-收敛空间的局部有界与局部紧性
On locally bounded and locally compact of stratified L-convergence spaces
摘要
Abstract
For stratified L-convergence spaces, the notions of bounded(compacted)set and locally bounded(compacted) space are introduced. These notions can be regarded as the natural extensions of Jäger’s corresponding notions. It is proved that(1)the general Lowen functor(by which the category of convergence spaces embeds coreflectively into the category of stratified L-convergence spaces)both preserves and reflects boundedness(compact)and locally boundedness (compact);(2)the category of locally bounded(compacted)stratified L-convergence spaces is a coreflective subcategory of the category of stratified L-convergence spaces.关键词
模糊拓扑/满层L-收敛空间/局部有界(紧)/局部有界(紧)修正/余反射子范畴Key words
fuzzy topology/stratified L -convergence space/locally bounded(compact)/locally bounded(compact) modification/coreflective subcategory分类
数理科学引用本文复制引用
李令强,金秋,王丽华,汤建钢..满层L-收敛空间的局部有界与局部紧性[J].计算机工程与应用,2014,(10):57-60,4.基金项目
新疆维吾尔自治区普通高校重点学科经费资助（No.2012ZDXK25）；山东省自然科学基金资助（No.ZR2013AQ011）；湖南省科技计划项目资助（No.2012RS4029）。 （）
