(LF)-space

In this paper, we study a kind of gereralized metric spaces- LF-netted spaces and PF-netted spaces.

本文主要研究了一类广义度量空间—LF-网空间，PF-网空间，给出了闭PF-网空间的刻画及几个强σ-空间的充分条件；引入了LF-数概念，得到了LF-网空间的几个性质，主要结果如下： 定理1。

The concepts of r remote neighborhood family and r- remote neighborhood family are defined by means of LF-r closed set in LF topological spaces.

在LF拓扑空间中借助LF-r闭集定义了r远域族与r-远域族,进一步引入r-Lindelff可数性和弱r-Lindelff可数性的概念,证明了r-Lindel可数性和弱r-Lindel可数性对于LF-r闭子集是遗传的,是r拓扑性质。

In this paper,new definition of regular spaces in LF topological spaces are given,some equivalent conditions and good properties of this regular space are proved,such as L-good extension,closed hereditary,each open(closed)set is θ-open(closed)set and so on.

本文在LF拓扑空间 (LX,δ)中给出正则空间的另一种定义 ,证明了这种正则空间具有一些好的性质与等价条件 ,如L -好的推广 ,闭遗传 ,每个开 (闭 )集是θ -开 (闭 )集等。

The Comparison of T_2 and Weak T_2 Separation Property on LF-topology Space;

LF拓扑空间的T_2与弱T_2分离性比较

Discuss of "L-good Generalization" Properties of LF Topological Spaces Generated by a Crisp Topology;

关于可拓扑生成LF拓扑空间“L-好的推广”性质的讨论

Quasi-Lindel-f Properties in LF-Topological Spaces;

LF-拓扑空间的拟Lindelf性

Study on Some Properties of LF-closure Spaces;

LF闭包空间中某些拓扑性质的研究

locally convex linear topological space

局部凸线性拓扑空间

locally arcwise connected topological space

局部弧连通拓扑空间

A topologic space or surface.

簇拓扑学的空间或面

metrizable topological space

可度量化的拓扑空间

pseudometrizable topological space

伪可度量化拓扑空间

THE TИXOHOB THEOREM OF GENERALIZED TOPOLOGICAL SPACES

广义拓扑空间的ТИХОНОВ定理

Infinite-Dimensional Topology in Hilbert Space;

Hilbert空间上的无穷维拓扑

The Research of Fuzzifying Semi-open Topological Theory;

Fuzzifying半拓扑空间的研究

γ-Sets in L-Fuzzy Topology Spaces;

L-Fuzzy拓扑空间中的γ-集

Fuzzy Topological Spaces and Bitopological Spaces

不分明拓扑空间与双拓扑空间的正规性

Sub-separation Axioms in L-topological Spaces and I-fuzzy Topological Spaces;

L-拓扑空间和I-fuzzy拓扑空间的次分离公理

Fibrewise Gluing Topology Space and Fibrewise Paste Topology Space

纤维粘合拓扑空间与纤维粘贴拓扑空间

This lattice is a Semi-topological invariant.

这个格是拓扑空间的一个半拓扑不变量。

Locally Separable Metric Spaces and Weaker Metric Topology Spaces;

局部可分度量空间与弱度量拓扑空间