# Topology vs Mereotopology - What's the difference?

topology | mereotopology |

## In mathematics|lang=en terms the difference between topology and mereotopology

is that topology is (mathematics) 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 while mereotopology is (mathematics) a theory combining mereology and topology, investigating relations between parts and wholes and boundaries between them.

## As nouns the difference between topology and mereotopology

is that topology is (mathematics) a branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms while mereotopology is (mathematics) a theory combining mereology and topology, investigating relations between parts and wholes and boundaries between them.

# topology

## English

### Noun

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

* (mathematics) analysis situs

#### Holonyms

* topological space

* open set

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