Why Topology Matters in Spatial Cognition and Analysis?

Poster (PDF Available) · May 2017with 1,346 Reads
Invited keynote: COSIT 2017, L’Aquila, Italy, September 4-8 2017
Abstract
This presentation, surrounding the concepts of topology, scaling, and beauty, concentrates on why topology matters in spatial analysis and cognition, linking scaling and beauty. The beauty refers to structural beauty or wholeness at deep level rather than surface beauty that is often considered to be in the eye of the beholder.
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Comments

May 12, 2017
John G. Stell
University of Leeds
Topology as an abstraction from geometry is also seen in the use of mereotopology in abstracting from quantitative video data for event understanding as in for example Dubba et al Learning Relational Event Models from Video Journal of Artificial Intelligence Research 53 (2015) 41-90
… 
May 12, 2017
Bin Jiang
University of Gävle
The works on which the presentation is based:
The image of the city or cognitive map arises out of the underlying scaling or fractal or living structure, and it is little to do with human factors which are only secondary; First and foremost, it is the city itself or the city's living structure that makes the city imageable.
The Image of the City Out of the Underlying Scaling of City ...
The notion of wholeness is not just cognitive or psychological, but a physical structure that is mathematically definable:
A Complex-Network Perspective on Alexander's Wholeness
The topology enables us to see the essence of space, which is scaling or fractal or living:
A Topological Representation for Taking Cities as a Coherent Whole
An empirical study on examining the new kind of beauty - being structural or objective - using human beings as a measuring instrument:
Tools with which we are able to see or uncover the wholeness:
A comprehensive review of Alexander's works and his unique design philosophy for sustainable urban design:
A Mathematical Model of Beauty for Sustainable Urban Design
…