Definitions

1. noun

The study of the properties of shapes and spaces, including their properties such as continuity and connectedness, and the relationships between them.

“The mathematician’s work in topology led to a deeper understanding of the fundamental properties of geometric shapes.”

2. noun

A branch of mathematics that studies the properties of shapes and spaces, including their topological invariants and the relationships between them.

“The topology course covered the basics of point-set topology and algebraic topology.”

3. noun

A configuration or arrangement of components in a system or network, especially in computer science.

“The topology of the network was reconfigured to improve its performance.”

4. noun

A type of data model or structure used in computer science to represent and organize data.

“The database used a graph topology to store and retrieve data efficiently.”

5. noun

A type of graph or diagram used to represent the relationships between nodes or components in a system or network.

“The topology of the social network showed the connections between individuals and groups.”

6. verb

To study or analyze the properties and relationships of shapes and spaces, especially in the context of topology.

“The researchers topologized the geometric shapes to better understand their properties.”

7. verb

To configure or arrange the components of a system or network in a particular way, especially in computer science.

“The network administrator topologized the network to improve its performance.”