What is topology: Topology is a Greek word that

Topology is a Greek word that means the study of place. The well-defined branch of mathematics emerged in the 20th century. Topology is used not only in different branches of mathematics like differential equations, knot theory, dynamical systems, etc but also it is used to understand physics concepts of the space-time structure of the universe and string theory. Let's discuss topology and its applications in this article. Topology is much more than an abstract mathematical discipline: it is a framework that unifies different branches of mathematics and science through its study of continuity, connectivity, and transformation. 1.1 Basis of a Topology Once we define a structure on a set, often we try to understand what the minimum data you need to specify the structure. In many cases, this minimum data is called a basis and we say that the basis generate the structure. The notion of a basis of the structure will help us to describe examples more systematically. 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 ...