Mathematical Sciences: Some Problems in Boundedly ControlledTopology

安德森教授打算研究几个问题， 有界控制拓扑及其应用领域。 这项工作将建立在这个问题的基础上，他 在与汉斯·约根·芒克霍尔姆教授的共同努力下， 来自丹麦欧登塞大学。 这些问题分为三类： 有些只存在于有限控制的范围内， 拓扑结构，旨在进一步发展的基础， 这一主题;有些是为了更准确地探索 有界控制拓扑和 由教授们独立开发的ε控制拓扑 T. A. Chapman和F. S.奎因三;和一些涉及应用 方法和结果的有界控制的拓扑结构，以其他 例如，研究群体行为。

Professor Anderson intends to work on several problems in the area of boundedly controlled topology and its applications. This work will build on the foundations of this subject that he has developed in joint work with Professor Hans Jorgen Munkholm of Odense University, Denmark. The problems are of three types: Some lie solely within the confines of boundedly controlled topology and are intended to develop further the foundations of that subject; some are designed to explore more exactly the relationship between boundedly controlled topology and the epsilon-controlled topology developed independently by Professors T. A. Chapman and F. S. Quinn III; and some involve applying the methods and results of boundedly controlled topology to other areas, for example to the study of group actions.