The term topology also refers to a specific mathematical idea central to the area of mathematics called topology. Informally, a topology describes how elements of a set relate spatially to each other.

Jul 23, 2025 · Network topology refers to the arrangement of different elements like nodes, links, or devices in a computer network. Common types of network topology include bus, star, ring, mesh, and tree topologies, each with its advantages and disadvantages.

In mathematics, general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology.

A topology on a set X is given by defining “open sets” of X. Since closed sets are just exactly complement of open sets, it is possible to define topology by giving a collection of closed sets.

By Tai-Danae Bradley, Tyler Bryson, and John Terilla MIT Press 2020 CC BY-NC-ND A graduate-level textbook that presents basic topology from the perspective of category theory.

In mathematics, topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending, but not tearing or gluing.

Jun 5, 2024 · Learn how to use Network Insights topology to get a visual representation of Azure resources with connectivity and traffic insights for monitoring.

Mar 1, 2024 · What is Topology? Topology is a branch of mathematics that studies the properties of objects that remain the same under continuous transformations, such as stretching, bending, or deforming without cutting or gluing. It focuses on the connection, continuity, and proximity between points and sets.

Although very general, the concept of topological spaces is fundamental, and used in virtually every branch of modern mathematics. The study of topological spaces in their own right is called general topology (or point-set topology).

Physical topology is the placement of the various components of a network (e.g., device location and cable installation), while logical topology illustrates how data flows within a network.