What does "topology" mean?

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).

How do you pronounce "topology"?

Pronounced //təˈpɒləd͡ʒi//.

Topology

Q: What is a synonym for "topology"?

Common synonyms include: analysis situs, analysis, arithmetic, geometria situs, mathematics, network topology.

//təˈpɒləd͡ʒi// noun

noun ·Moderate ·College level

Definitions

Noun

1
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). uncountable
"1970 [Addison-Wesley], Stephen Willard, General Topology, 2012, Dover, page v, This book is designed to develop the fundamental concepts of general topology which are the basic tools of working mathematicians in a variety of fields."
2
the configuration of a communication network wordnet
3
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. countable, uncountable
"A set X equipped with a topology #92;tau is called a topological space and denoted (X,#92;tau)."
4
the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions wordnet
5
The anatomical structure of part of the body. countable, uncountable

Show 6 more definitions

6
the study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region wordnet
7
The arrangement of nodes in a communications network. countable, uncountable
8
topographic study of a given place (especially the history of the place as indicated by its topography) wordnet
9
The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application. countable, uncountable
10
The topographical study of geographic locations or given places in relation to their history. countable, uncountable
11
The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place. countable, dated, uncountable