Discuss Of "L-good Generalization" Properties Of LF Topological Spaces Generated By A Crisp Topology

In this paper, having already been known some"L-good generalization " properties under the R.Lowen meaning in LF topological spaces generated by a crisp topology ,other "L-good generalization " properties are further proved. "L-good generalization" properties of LF topological spaces generated by a crisp topology are studied overall and systematically, in order to enrich and development further the basic theories of LF topological spaces generated by a crisp topology. The main content of the paper is discussed as follows:The first chapter, in which the researching background and present condition of LF topological spaces generated by a crisp topology are introduced;In the second chapter,the basic theories and the definition of "L-good generalization " properties under the R.Lowen meaning in LF topological spaces generated by a crisp topology is introduced completely;Simultaneously, connectedness is not "L-good generalization" properties under the R.Lowen meaning is proved by a counterexample in the third chapter;The fourth chapter,in which having already been known the first countablity , separability and standard properties on Lindelof are "good generalization"under the R.Lowen meaning, and which is expanded successfully on the L -fuzzy lattice,all of them are"L-good generalization " properties under the R.Lowen meaning,in the meantime, Frechet and order spaces are"L-good generalization " properties under the R.Lowen meaning is proved; but the conclusion on the second countablity is proved partly in this paper,also which is discussed further in the future;In the fifth chapter, having already been known T₀, T₁, T₂, T₃, T_3.5,ST₂ and ST₃ separability is"L-good generalization " properties under the R.Lowen meaning ,at the same time , T₄, ST₁, ST₄, T₃^* separability is"L-good generalization " properties under the R.Lowen meaning;In the sixth chapter, having already been known ultra-Fuzzy, N-compactness,strong F and F-compactness are"L-good generalization" properties, and paracompactness is"good generalization " property, a problem is put forward and the full text is summaried.