Topology is a branch of mathematics that deals with the structure of spaces and geometric objects. The term “topology” comes from the Greek and means “description of place”.
The field of topology is concerned with studying properties of spaces and objects that are expressed not by their geometric properties but by their topological properties. Topological properties are those that do not change when you deform or twist the object or space, as long as you maintain the connections between the individual elements.
An important concept in topology is the set, which serves as the basis for the investigations. A set can consist of points, lines, areas or other elements. Topological mappings are functions that map elements of one set to elements of another set.
Topology is a broad and comprehensive area of mathematics that deals with the study of spaces and their properties. Some specialties include:
Topology is an important branch of mathematics and has applications in many other areas of science and engineering. Some examples of applications are:
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