Topology is the study of properties of geometric spaces which are preserved by continuous deformations (intuitively, stretching, rotating, or bending are continuous deformations; tearing or gluing are not). The theory originated as a way to classify and study properties of shapes in ... Topology is a branch of mathematics that studies the characteristics of geometric objects that are retained during constant deformations including stretching, crumpling, twisting, and bending. A topological space is a collection with a topology that allows for the definition of continuous deformation of subspaces and, more broadly, all other forms of continuity. Any distance or metric determines a topology, so Euclidean spaces and, more broadly, metric spaces are representations of ... Topology is a branch of mathematics that studies properties of space that are preserved under transformations, such as stretching, twisting, or bending, but not tearing or gluing. For example, a circle can be stretched into an ellipse without tearing or having to re-attach any lines or corners, making the two shapes topologically the same. A network topology is the arrangement of devices (nodes) and connections (links) in a computer network. It shows how computers, servers, and other devices are connected and how data flows between them. There are two main types of topology: Physical Topology: The actual physical layout of cables and devices. Logical Topology: How data moves across the network, regardless of physical layout. Note: Choosing the right topology is important because it affects the performance, cost, reliability ...
