拓扑传播学初探

本文将拓扑学方法应用传播学,开辟了传播学的一个新方向--拓扑传播学.本文给出了信息传播渠道的一个严格数学定义,分别讨论了不同传播渠道和不同传播空间之间的同伦关系,证明了渠道同伦和传播空间同伦都是等价关系.据此,可以对不同传播渠道和不同传播空间进行等价聚类.最后讨论了可形成"舆论点"与"舆论区域"的传播空间特点,得出了"舆论"的一个严格数学定义,提出了舆论是一种数学映射的观点,并给出了舆论形成的充分必要条件.本文把Osgood传播系统看作是一个拓扑空间,在此基础上建立了Osgood传播系统的基本群模型,较为详细地讨论了Osgood传播系统的拓扑性质,得出了两点重要推论:一是Osgood传播系统的基本解是拓扑不变量;二是可形成舆论的Osgood传播系统是单连通的.

Primary Research on Topological Communication

In this paper,a info communication channel is defined as a strict mathematical mapping by the way of topology.homotopy relations between different communication channels and between different communication spaces are discussed.It is proved that both channel homotopy and communication space homotopy is equivalence relation.Accordingly,equivalence clustering for different communication channels and different communication spaces is made.At last the characteristics of communication space which may form "consensus point" and "consensus area" are discussed in details,a strict mathematical definition of "consensus" is given and it is given that consensus is a mathematical mapping,the sufficient and necessary conditions of consensus formation is proposed.This paper provides a foundation for topological communication study.What's more,Osgood communication system is firstly regarded as a topological space,on this basis,a basic group model of Osgood communication system is constructed.The topological characters of Osgood communication system are discussed in details and two inferences are drew : one is that the basic group of Osgood communication system is a topological invariable,the other is that Osgood communication system which can form consensus is singly connectivity