ABSTRACT

Topology is, in a sense, a generalization of classical Euclidean geometry. But, where classical geometry studies rigid equivalences of triangles and rectangles, topology studies more flexible equivalences of a great variety of shapes. The subject of topology as we know it today was founded largely by Henri Poincare´. Over the course of the twentieth century it has developed into a lively and intensely studied discipline. This section is your introduction to the subject.