## TOPOLOGY

### Topology

**Topology**is the mathematical study of shapes and spaces. It is a major area of mathematics concerned with the most basic properties of space, such as connectedness, continuity and boundary. It is the study of properties that are preserved under continuous deformations including stretching and bending, but not tearing or gluing. The exact mathematical definition is given below. Topology developed as a field of study out of geometry and set theory, through analysis of such concepts as space, dimension, and transformation.

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### topology

#### Noun

- A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms.
- A collection
*τ*of subsets of a set*X*such that the empty set and*X*are both members of*τ*and*τ*is closed under arbitrary unions and finite intersections. - The anatomical structure of part of the body.
- The arrangement of nodes in a communications network.
- The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
- The topographical study of geographic locations or given places in relation to its history.
- The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

*The above text is a snippet from Wiktionary: topology*

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and as such is available under the Creative Commons Attribution/Share-Alike License.