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Titlebook: Geo-Topology; Theory, Models and A Fivos Papadimitriou Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license t

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发表于 2025-3-21 18:45:17 | 显示全部楼层 |阅读模式
书目名称Geo-Topology
副标题Theory, Models and A
编辑Fivos Papadimitriou
视频video
概述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
丛书名称GeoJournal Library
图书封面Titlebook: Geo-Topology; Theory, Models and A Fivos Papadimitriou Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license t
描述.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..
出版日期Book 2023
关键词Geography and Topology; Landscape Geography; Spatial Analysis; Geographical Borders; Perception of Maps;
版次1
doihttps://doi.org/10.1007/978-3-031-48185-7
isbn_softcover978-3-031-48187-1
isbn_ebook978-3-031-48185-7Series ISSN 0924-5499 Series E-ISSN 2215-0072
issn_series 0924-5499
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-22 00:00:34 | 显示全部楼层
,Die Bekämpfung der Fliegenplage,topological background of landscape boundaries might be based on the Jordan Curve Theorem. Certain cases in landscape management and landscape planning illustrate the importance of careful design of landscape boundaries for landscape ecology and biogeography.
发表于 2025-3-22 03:30:26 | 显示全部楼层
https://doi.org/10.1007/978-3-662-41289-3alization. Example applications are carried out on real landscapes of the region of Attica (Greece) and on artificial landscapes. Reeb graphs in particular, constitute an excellent method for the visualization of the topological changes of landscapes in the course of time.
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发表于 2025-3-22 14:27:43 | 显示全部楼层
Zusammenfassung der zentralen Ergebnisse,ion points between lines) and one geometrical (angles). The model is applied to a raster landscape map of an area of Rio de Janeiro. Interestingly, the values of the visual impact per quadrant are shown to conform with values of measures of spatial entropy (the higher the visual impact, the higher the spatial entropy of the landscape).
发表于 2025-3-22 18:43:40 | 显示全部楼层
发表于 2025-3-22 22:52:08 | 显示全部楼层
Geo-topology of Landscape Boundariestopological background of landscape boundaries might be based on the Jordan Curve Theorem. Certain cases in landscape management and landscape planning illustrate the importance of careful design of landscape boundaries for landscape ecology and biogeography.
发表于 2025-3-23 04:02:03 | 显示全部楼层
Geo-topological Visualization of Landscapes and Landformsalization. Example applications are carried out on real landscapes of the region of Attica (Greece) and on artificial landscapes. Reeb graphs in particular, constitute an excellent method for the visualization of the topological changes of landscapes in the course of time.
发表于 2025-3-23 06:02:40 | 显示全部楼层
Geo-topological Visualization with Knots and Braidsd to visualize land use transformations while closed timelines in time-geography can also be visualized by knots. As an example application, landscape changes in East Attica (Greece) can be visualized with savoy and amphicheiral cinquefoil knots.
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