Geospatial topology


In a Geographic Information System GIS, topology is a set of rules which define the relationship between points, lines, and polygons. ESRI enables topology generation within their geodatabase feature classes. Network topology explores the linkages between nodes.

GIS Topology

In a GIS, topology is a set of rules which define the geometric relationship between objects located in space, represented by points, lines and polygons. The geometric characteristics of these objects do not change under transformations such as stretching or bending, and are independent of any coordinate system. The topological characteristics of an object are also independent of scale of measurement. Topology consists of adjacency, containment, and connectivity. Adjacency and containment describe the geometric relationships that exist between area features. Areas can be described as ‘adjacent’ when they share common boundaries. Connectivity is a geometric property used to describe the linkages between line features eg roads are connected to form a road network.

The description of how spatial features are connected to each other. Method of determining spatial relationships in vector data models (tells computer what is inside or outside a polygon or which nodes are connected by arcs). Turns vector nodes, arcs, and polygons into intelligent maps. The spatial relationships between connecting or adjacent coverage features (eg, points, lines, and polygons). It provides a way in which geographic features are linked together. geometric arrangement of nodes and cable links in a local area network; may be either centralized and decentralized. The relationships in spatial terms between connected or adjacent geographical objects. Topology is used to apply intelligence to data held in the vector data model. ... The manner in which the components of a subject are arranged or interrelated. The physical and logical arrangement of devices in a SAN. Topology can be displayed graphically, showing devices and their interconnections. network topology. The geometric physical or electrical configuration describing a local communication network; the shape or arrangement of a system. The most common topologies are the bus, ring, star, cluster tree and mesh. A network's topology is a logical characterization of how the devices on the network are connected and the distances between them. The most common network devices include hubs, switches, routers, and gateways. ... A network topology shows the hosts and the links between them. A network layer must stay abreast of the current network topology to be able to route packets to their final destination. The map or plan of the network. The physical topology describes how the wires or cables are laid out, and the logical or electrical topology describes how the information flows. A term used to refer to the continuity of space and spatial properties, such as connectivity, that are unchanged after distortion. In GIS, this terms refers to the way in which geographical elements are linked together. ... The shape of a network. refers to any relationship between connected geometric primitives that is not altered by continuous transformation. The shape or organization of the switch fabric. Switches and links can be organized in regular topologies (for example, 2-D meshes where each switch is connected to a certain number of its closest neighbors, or trees where each switch connects to a parent and several children), or ad-hoc ... The explicit definition of how map features represented by points, lines and areas are related. Specifically, issues of connectivity and adjacency of features are accounted for. The geometric arrangement of devices on the network. For example, devices can be arranged in a ring or in a straight line. The description of the layout of physical connections of a network, or the description of the possible logical connections between nodes, indicating which nodes are to be able to communicate. Similar to a "road map" between all devices connected to a LAN. The physical layout of a network including all devices and cables The different way computers (and network enabled peripherals) are arranged on or connected to a network. The most common network topologies are: The ways in which the SN0 nodes are connected in general (see also hypercube); but in particular the relationship between the nodes in which the various threads of a parallel program are executed. ... Mapping of the relationships among subjects. The numerical description of the relationships between geographic features, as encoded by adjacency, linkage, inclusion, or proximity. Thus a point can be inside a region, a line can connect to others, and a region can have neighbors. a program that displays the topology of a Marconi ATM network. An updated topology can be periodically re-displayed by use of the interval command option. the geometric configuration of a computer network, or how the network is physically laid out. Common topologies are star (centralized), bus (decentralized), and ring (decentralized). Top of Page topographic study of a given place (especially the history of place as indicated by its topography); "Greenland's topology has been shaped by the glaciers of the ice age" regional anatomy: the study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions the configuration of a communication network Topology (Greek topos, "place," and logos, "study") is a branch of mathematics that is an extension of geometry. Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. ... Topology is a distinguished mathematical journal publishing scholarly articles related to topology and geometry. It is published by Elsevier and was founded by J.H.C. Whitehead. The topology of an electronic circuit is the basic configuration of the circuit without regard to specific component values or ratings. Schematic diagrams illustrating circuit topology often show only the major components.

Source(s): (electronics) (journal)

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