关键词: 大学研究院, 创新体系, 动态拓扑, 函数解析, 产生机制, 研究课题

Abstract: Research centers especially the cross-disciplinary scholarly research centers are a special academic zone in either research university or research-teaching university, which has been recommended in Chinese "985 project" as innovational platforms. The topologic space theory in mathematics is applied to the study on the formation mechanism of assignments for the research centers of Chinese universities, thus providing a topological dynamic for the requirement of new assignments. A storehouse of research assignments based on dynamic topology is built according to the rules that the cross-disciplinary information is possible to result in new sci-tech achievements. In the topological storehouse a relation between different elements is established to make functional analysis of the elements in topological space. Absorbing the foreign experience in starting research centers of advanced universities, the formation process of the assignments for those research centers is envisaged, which may be beneficial to Chinese research or research-teaching universities.