What does topology mean?
Topology is the study or description of how the parts of a system are arranged and connected. In general usage, it refers to the overall configuration of a network, organization, landscape, or other structure, with the emphasis on relationships between parts rather than their size, shape, or exact position. The word is especially important in mathematics, where topology studies properties that persist when connected spaces are continuously deformed. Two objects may therefore be very different in appearance yet share the same topology if they can be transformed into one another by stretching, bending, or twisting without tearing or joining them. Topology also has a well-established technical role in computing, particularly in the design and analysis of computer networks. Its broader connotations are analytical and structural: to discuss topology is to consider the hidden pattern of connections that gives a system its behavior. The term is valued because it shifts attention away from superficial appearance and toward the relationships that define a structure.
nounThe arrangement, structure, or configuration of a system, especially the way its components relate or connect to one another. In mathematics, it names the branch concerned with properties that remain unchanged under continuous deformation.
- The arrangement, structure, or configuration of a system or network.
- The mathematical study of the properties of connected spaces that remain unchanged under continuous deformation.
- A particular form or organization within a field, such as the topology of a social, political, or biological system.
"The engineers redesigned the network topology to reduce bottlenecks."
"The network topology determines how data moves between the cluster's servers."
"Topology studies questions that remain unchanged when a shape is stretched or bent but not torn."
Used for distinct arrangements, configurations, or branches of topology, especially when comparing several networks or mathematical structures.
"The two networks have different topologies despite serving the same number of users."
A sphere and a doughnut are topologically different: no amount of stretching can turn one into the other.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Where does topology come from?
Topology combines the Greek noun topos, meaning “place,” with -logia, meaning “study of,” following the pattern of words such as geography and biology. The term entered English in the seventeenth century and was subsequently developed into a formal branch of mathematics during the nineteenth century. Its relatives include topography, concerned with the mapping of places, and toponymy, the study of place names.
Related word forms
How topology is actually used
Topology is formal and technical in general. It is common in mathematics, computing, engineering, and systems analysis, while specialized uses occur in fields such as biology, geography, and political science.
Easily confused with topology
Topography describes the physical features and shape of a place, whereas topology describes the arrangement of a system or the mathematical study of connected spaces.
Typology is a classification according to shared characteristics, while topology concerns the arrangement or connections within a system.