可拓维数与可加细映射

Extensions of Continuous Function in LG-Topology

In this article we introduce three maps, OLG, CLG and LG in LGT-space literature and show that these maps are extension of the continuous function in LGT-spaces and have the almost properties of the continuous functions. Also, it has been introduced and studied the natural notions, quotient, decomposition, weak LG-topology and isomorphism, related to the continuous function.

扩张维数与拟有限CW-复形

Extension dimension and quasi-finite CW-complexes

我们通过考虑不一定可数的复形来扩展准有限复形的定义。我们利用L-可逆映射和紧化的维数性质给出了拟有限复形的一个刻画。建立了与拟有限复形类相关的几个结果，如可度量化空间的完备化、泛空间的存在性和因子分解定理的一个版本。进一步，我们推广了UV（L）-空间在非紧情形下的定义，并证明了UV（n）-空间和UV（n）-映射的一些性质分别对UV（L）-空间和UV（L）-映射仍然成立。

映射到射影平面的扩张

Extensions of maps to the projective plane

证明了对于三维紧致可度量化空间X，无限实射影空间是X的绝对扩张当且仅当实射影平面是X的绝对扩张.

关于扩张维数的几个映射定理

Some mapping theorems for extensional dimension

本文给出了关于有限维空间映射几何的Pakkov和Torunczyk定理的一些结果。

Quantum extensions of ordinary maps

We define a loop to be quantum nullhomotopic if and only if it admits a nonempty quantum set of extensions to the unit disk. We show that the canonical loop in the unit circle is not quantum nullhomotopic, but that every loop in the real projective plane is quantum nullhomotopic. Furthermore, we apply Kuiper's theorem to show that the canonical loop admits a continuous family of extensions to the unit disk that is indexed by an infinite quantum space. We obtain these results using a purely topological condition that we show to be equivalent to the existence of a quantum family of extensions of…

关于纤维到映射的半开性及拟分离映射的半开性

On semi-openness of fiber-onto extensions of minimal semiflows and quasi-separable maps

本文研究了极小流的纤维到扩展及拟分离映射的半开性条件，提出了关于半开映射的结构理论和逆极限技术的应用。

弱扩张原理

The weak Extension Principle

本文在相当温和的力迫公理下，证明了 Čech-Stone 剩余之间映射的刚性结果。