Topology of Infinite-Dimensional Manifolds and Inductive Limits

在这一研究期间，为了建立LF流形理论，即在局部凸拓扑线性空间上建立流形，我们研究了相关问题并取得了许多结果，但刻画LF流形的工作被Banakh和Repov抢占了一步。此外，为了培养年轻的无限维拓扑研究人员，我可以写一本书，作为研究生学习单纯复形的拓扑学、维度理论和ANR理论的教科书，也可以作为研究人员的有用参考。本书《一般拓扑学的几何方面》将由斯普林格出版社出版

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