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 geometrybecause 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:
- Branches of Topology
- Topological Properties
- Continuous Transformations and Equivalent Figures
The Columbia Electronic Encyclopedia, 6th ed. Copyright © 2012, Columbia University Press. All rights reserved.
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