Definitions for "Topology"
Keywords:  spatial, polygon, bus, gis, hypercube
a branch of mathematics which studies the properties of geometrical forms which retain their identity under certain transformations, such as stretching or twisting, which are homeomorphic. See also topologist.
configuration, especially in three dimensions; -- used, e. g. of the configurations taken by macromolecules, such as superhelical DNA.
A mathematical term that refers to the spatial relationships between shapes. Once topology is established via a GIS, concepts such as beside, nearest, within, around, distance between, etc. all have meaning to a computer. Some GIS systems require that topology be established as a distinct step in the production of a layer. In Arcview, a shapefile has its topology already established.
The set of properties of geometic forms (such as connectivity, neighbourhood) which is defined with the data model remaining invariant when subject to a continuous transformation. The level of topology chosen for the ENC allows for colour fill, activation of area warnings, e.g. depth area warnings, cautionary areas. The different levels of topology are described in the S-57 Data Model.
the study of surfaces; the study of properties which do not change under certain transformations
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
classification of shapes into groups that can be deformed into one another without ripping or tearing their structure in any way.
The study of the deformability of intact structures.
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"
a set, in our case S together with a set of subsets of S
A collection of subsets of a given set that satisfy the topology axioms. Proof by Contradiction
Keywords:  dunk, doughnut, cup, coffee, theory
The theory of how to keep your doughnut from falling apart when you dunk it in your coffee cup.
a hierarchical representation of all the resources , or objects (such as servers, applications, and hosts), that are registered in a configuration directory
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.
The manner in which the components of a subject are arranged or interrelated.
Keywords:  yourself, suggest, looking, one
I suggest looking this one up yourself
The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
Keywords:  space, see
See Topological space.