topology Definition
the study of the properties of geometric forms that remain unchanged when the shape is stretched or bent.
Using topology: Examples
Take a moment to familiarize yourself with how "topology" can be used in various situations through the following examples!
Example
The topology of a sphere is different from that of a cube.
Example
Topology is used in computer science to describe the layout of networks.
Example
The study of topology has applications in physics and engineering.
topology Synonyms and Antonyms
Synonyms for topology
Phrases with topology
a branch of mathematics that uses algebraic techniques to study topological spaces
Example
Algebraic topology is used to study the properties of knots and surfaces.
point-set topology
a branch of topology that studies the properties of sets of points in a space
Example
Point-set topology is used to study the properties of metric spaces.
a set of points with a specified collection of subsets, called open sets, that satisfy certain axioms
Example
A topological space is a mathematical object used to study the properties of geometric shapes.
Summary: topology in Brief
Topology [təˈpɑːlədʒi] is the study of the properties of geometric forms that remain unchanged when the shape is stretched or bent. It is used in computer science, physics, and engineering to describe the layout of networks and study the properties of knots and surfaces. Topology is divided into branches such as algebraic topology and point-set topology.
