Several Paracompactness In L-Fuzzy Topological Space

By the base of almost countable F-compactness,sheaf paracompact hess and countable paracompactness in L-Fuzzy topological space,in this artical,counta ble sheaf paracompactness,almost countable paracompactness and almost countable sheaf paracompactness are investigated.Main content:Chacpter One Some concepts, signs and results are introduced firstly which will be used.Chacpter Two By the base ofα-remote family and strongα-locally finite,the new Fuzzy paracompactness-countable sheaf paracompactness is defined,its characteristics are introduced.The properties of countable sheaf paracompactness in L-Fuzzy topological space are inves tigated and it is proved that countable sheaf paracompactness is " L-good exten sion ".Chapter Three Firs1ly,the concept of proximate cover is introduced,almost countable paracompactness and almost countable compactness in topological space are defined.By the base of almostα-remote family andα-locally finite,the new Fuzzy paracompactness-almost countable paracompactness is defined.The equiva lent definition is introduced and the properties of almost countable paracompactness in L-Fuzzy topological space are investigated.Chacpter Four By the base of almostα-remote family,the concept of almost countable sheaf paracompactness is introduced based on chacpter two.The almost countable sheaf paracompactness has some ideal properties are proved.At last,the connections among these paracompactness are discussed.