topology

Introduction

topology, branch of mathematics, formerly known as analysis situs, that studies patterns of geometric figures involving position and relative position without regard to size. Topology is sometimes referred to popularly as rubber-sheet geometry because a figure can be changed to that of an equivalent figure by bending, stretching, twisting, and the like, but not by tearing or cutting.

Sections in this article:

Introduction
Branches of Topology
Continuous Transformations and Equivalent Figures
Topological Properties

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