Topology of Infinite-Dimensional Manifolds and Inductive Limits

在此研究期间，为了建立LF流形的理论，即在局部凸拓扑线性空间（称为LF空间）上建模的流形，我们研究了相关问题并获得了许多结果，但表征LF流形的工作被Banakh和Repovs抢先完成。此外，为了培养年轻的无穷维拓扑研究人员，我可以写一本书，作为研究生学习简单复体拓扑、维数理论、ANR理论的教科书，也可以作为研究人员的有用参考。这本书“一般拓扑的几何方面”被施普林格接受出版

During this research period, in an effort to establish the theory of LF manifolds, i.e., manifolds modeled on locally convex topological linear spaces called LF spaces, we have studied related problems and obtained many results, but characterizing LF manifolds was scooped by Banakh and Repovs. Besides, to cultivate young researchers in InfiniteDimensional Topology, I could write up a book which is a textbook for graduate students to study topology of simplicial complexes, dimension theory, and ANR theory, or a useful reference for researchers. This book “Geometric Aspects of General Topology” is accepted to be published by Springer