# Definitions for **topology**təˈpɒl ə dʒi

### This page provides all possible meanings and translations of the word **topology**

### Random House Webster's College Dictionary

to•pol•o•gytəˈpɒl ə dʒi(n.)

the mathematical study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching.

**Category:**Maththe topography of a place or entity.

#### Origin of **topology**:

1650–60

to•pol′o•gist(n.)

### Princeton's WordNet

topology(noun)

topographic study of a given place (especially the history of the place as indicated by its topography)

"Greenland's topology has been shaped by the glaciers of the ice age"

regional anatomy, topographic anatomy, topology(noun)

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

topology, analysis situs(noun)

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

topology, network topology(noun)

the configuration of a communication network

### Wiktionary

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.

topology(Noun)

A collection u03C4 of subsets of a set X such that the empty set and X are both members of u03C4 and u03C4 is closed under arbitrary unions and finite intersections.

topology(Noun)

The anatomical structure of part of the body.

topology(Noun)

The arrangement of nodes in a communications network.

topology(Noun)

The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.

topology(Noun)

(topography) The topographical study of geographic locations or given places in relation to its history.

### Webster Dictionary

Topology(noun)

the art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place

### Freebase

Topology

Topology is the mathematical study of shapes and spaces. 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. Ideas that are now classified as topological were expressed as early as 1736. Toward the end of the 19th century, a distinct discipline developed, referred to in Latin as the geometria situs or analysis situs. This later acquired the name topology. By the middle of the 20th century, topology had become an important area of study within mathematics. Topology has many subfields. ⁕Point-set topology establishes the foundational aspects of topology and investigates concepts inherent to topological spaces. ⁕Algebraic topology tries to measure degrees of connectivity using algebraic constructs such as homology and homotopy groups.

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"topology." *Definitions.net.* STANDS4 LLC, 2014. Web. 20 Oct. 2014. <http://www.definitions.net/definition/topology>.