What is topology: Topology is the study of properties of

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 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. Topology, as a well-defined mathematical discipline, originates in the early part of the twentieth century, but some isolated results can be traced back several centuries. [6] Among these are certain questions in geometry investigated by Leonhard Euler. His 1736 paper on the Seven Bridges of Königsberg is regarded as one of the first practical applications of topology. [6] On 14 November 1750, Euler wrote to a friend that he had realized the importance of the edges of a polyhedron. This led ... 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 ...