Origin: Greek suffix -ology
Topology has 5 different meanings across 1 category:
topographic study of a given place (especially the history of the place as indicated by its topography)
"Greenland's topology has been shaped by the glaciers of the ice age"
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 surgeon studied the regional topology to understand how a tumor in the neck affected nearby muscles, nerves, and arteries."
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
"Topology studies how shapes change while keeping their essential connections intact, such as turning a coffee mug into a donut without tearing or gluing."
the configuration of a communication network
"The administrator reorganized the topology to improve data flow across the communication network."
The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
"Topology is the mathematical field that studies how geometric shapes change under continuous transformations like stretching and bending without being torn."
In plain English: Topology is the study of how shapes and spaces are connected without worrying about their exact size or angles.
"In computer networking, topology describes how devices are physically connected to each other within a system."
Usage: In everyday contexts, use topology to describe the study of shapes and spaces based on their connectivity rather than precise measurements. Avoid confusing this mathematical field with general descriptions of physical layout or network structure unless specifically discussing graph theory applications.
The word topology comes from the Greek roots topos, meaning "place," and -logia, meaning "the study of." It entered English through Late Latin to describe the mathematical field concerned with properties that remain unchanged under continuous deformations.