Geo-Topology

Geo-Topology is an exploration of the depth and breadth of the relationships between Geography and Topology, with applications ranging from Landscape Geography to Social Geography and from Spatial Analysis to Geospatial Technologies.

It shows how topics of geographical research (landscapes, borders, spatial social relationships etc) can be examined by using mathematical concepts and methods of Topology, exposing the realm of geo-topological modelling and visualization through Point-Set Topology, Knot Theory, Reeb graphs, Topological Surfaces (i.e. Möbius bands and Klein bottles), Differential Topology, Network Analysis, Combinatorial Topology, Braid Theory and Ultrametric Topology.

Besides geographers, this book is a trove of new ideas for landscape ecologists, mathematicians, data scientists, sociologists, psychologists, anthropologists and educators.

Geo-Topology is a systematic introduction to topological thinking in Geography, also by highlighting the significance of Topology for Geographical Education, as well as for the Philosophy and Epistemology of Geography.

Shows how topology offers models for both physical and cyber-physical spaces Provides methods to study the topological changes of geographical settings or landscapes Devoted entirely to the geographic models and applications of topology

Auteur
Dr.Dr.Fivos Papadimitriou is the author of the books Spatial Entropy and Landscape Analysis , Modelling Landscape Dynamics and Spatial Complexity: Theory, Mathematical Methods and Applications (all published by Springer).

Contenu
Part I- Introduction.- Chapter 1.The Topological Turn in Geography.- Part II. Geo-Topology in Geographical Analysis.- Chapter 2. Geoinformatics and Topological Data Analysis.- Chapter 3. Geo-Topology of Landscape Boundaries.- Chapter 4. Geo-Topology of Networks of Borders.- Chapter. 5.Geo-Topology, Complexity and Resilience.- Part III. Topology in Geo-Visualization.- Chapter 6. Geo-Topological Visualization of Landscapes and Landforms.- Chapter 7. Geo-Topological Visualization of Land Use Dynamics.- Chapter 8. Geo-Topological Visualization with Knots and Braids. Part IV. Topological Models for Cyber-Geography.- Chapter 9. Topologies of Ubiquity and Placelessness.- Chapter 10. Ultrametri-City.- Part V. Psychological, Educational, Epistemological and Philosophical Perspectives on Geo-Topology.- Chapter 11. Geo-Topology and Visual Impact.- Chapter 12. Geo-Topology in Games and Education.- Chapter 13. Geo-Topology and Epistemology.- Chapter 14. Personal Geo-Topologies.