Topological: meaning, definitions and examples

Used in mathematics and science to refer to properties that are preserved under continuous transformations such as stretching or bending, but not tearing or gluing.

• The topological properties of the shape remain unchanged even when it's stretched

Used to describe anything related to geometry, which is the branch of mathematics that deals with the shapes, sizes, and properties of figures and spaces.

• The geometric design of the building includes many triangular patterns

Broadly used to describe anything related to mathematics, including concepts, theorems, models, and calculations.

• The mathematical model helped predict the population growth over the next decade

Commonly used to describe the arrangement and relations between the parts of a system, object, or conceptual framework. Often used in engineering and architecture.

• The structural integrity of the bridge is crucial to its safety

Used in scientific and mathematical contexts to describe properties that are preserved through deformations, twistings, and stretchings. Also used in describing relationships and structures without necessarily referring to physical attributes.

• In topology, a topological space is a set of points, each with a neighborhood
• The topological properties of a shape remain constant even when it's distorted
• The topological analysis of the map highlighted its most crucial connections

Used primarily in a technical or organizational context where forming a network is involved, particularly in computing or social systems. Indicates that multiple entities are interactively connected.

• The company's entire IT infrastructure is networked
• The conference was a great opportunity for professionals to get networked
• The sensors in the smart home are networked to offer better functionality

Suitable for situations where indicating a relationship or linkage between two or more entities is required. This can be a physical connection or a conceptual one.

• The two cities are connected by a high-speed train
• All the computers in the office are connected to the same network
• She felt deeply connected to her childhood memories

Used in everyday situations to describe something that has been put in a specific order or organized in a particular manner. Commonly used for physical items and schedules.

• The books on the shelf were arranged alphabetically
• She arranged the meeting for 3 PM
• The flowers were beautifully arranged in the vase