Tosiyasu L. Kunii “Algebraic Modeling for Cyberworld Design“

Abstract

Cyberworlds are being formed on the web either intentionally or spontaneously, with or without design. Widespread and intensive local activities are melting each other on the web globally to create cyberworlds. What is called e-business including electronic financing has been conducted in cyberworlds and has gone beyond a national finance level in its scale. Without proper modeling, cyberworlds have continued to grow chaotic and are now out of human understanding and control. A novel information model we named “an adjunction space model” serves to globally integrate local models. As an information model, it is also applicable to the category of irregular data models that capture spatio- temporal aspects of information worlds. Mathematically it is based on an incrementally modular abstraction hierarchy including cellular spatial structures in a homotopy theoretical framework.

Paper