ABSTRACT
The topological tendency as the changing role of the surface is simultaneously a concept and a mode of enquiry. In the practice of architecture, it translates into methods that can both represent and intervene in the spatial. Whereas traditionally society was considered mostly static, change being thought of as extensive and atypical, in the recent 'topological turn' in social theory, change is considered normal and immanent. Topology is a branch of modern mathematics, the study of spaces 'reduced' to surfaces. It is the study of continuity and connectivity through continuous deformations. Topology has several branches, but the most general is point-set theory, which studies the properties of topological spaces. Movement is inherent in topology, described as categories and relations. The Artificial neural network (ANN)s are mathematical models that describe a topological space inspired by the structure and functional aspects of biological neural networks.
