topology
The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
Other meanings
Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
“A set X equipped with a topology \tau is called a topological space and denoted (X, \tau).”
The anatomical structure of part of the body.
Related words
- topologic
- final topology
- initial topology
- Alexandrov topology
- combinatorial topology
- algebraic topology
- pointfree topology
- circuit topology
- bus topology
- cofinite topology
- differential topology
- discrete topology
Word history
From Latin "topologia".
Where this comes from
This definition is adapted from “topology” on Wiktionary, by its contributors, published under CC BY-SA 4.0. This page is published under the same licence.