THE ROLE OF TOPOLOGY IN SOCIAL OBJECTS RESEARCH: YESTERDAY, TODAY AND TOMORROW
Raisa ZayakinaThe article analyses the origin and development of social topology as well as the reasons for choosing the paths of its further development. Taking into account the directions in mathematical topological thought which are defined as theoretical multiple and algebraic topology, we distinguish two main vectors in devising socio-topological views: the topology of space and the topology of form. The first is based on the works of Kurt Lewin and Pierre Bourdieu and represented as a configuration of units located in social space. The second originates from the works of Rene Tohm, which conceptualize the forms of objects and urge the research in isomorphic processes, figurativeness and equivalence of their models in a social reality context. The authors analyse the methods of applying the topology of space to modern sociological research ranging from visual physical understanding of place to abstract logical representation of the role and meaning of a social object. They also reveal the reasons why sociologists and social philosophers have mastered and actively made use of space-topology methodology tools. The paper explains the origin of difficulty in realizing the ideas and theoretical methodological capacities of the topology of form in human and social sciences. The authors suggest and prove the conclusion that a one-sided attitude towards topology is non-productive and greatly weakens our sociological understanding, procedures and the results of topological studies of social objects