Geo topology : theory models and applications 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. 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.