topology

Definition from Wiktionary, a free dictionary

Contents 1 English 1.1 Pronunciation 1.2 Noun 1.2.1 Synonyms 1.2.2 Derived terms 1.2.3 Related terms 1.2.4 Translations 1.2.5 See also

[edit] English

[edit] Pronunciation

• (RP) IPA: /təˈpɒləʤi/, SAMPA: /t@"pQl@dZi/
• (GenAm) IPA: /təˈpɑːləʤi/, SAMPA: /t@"pA:l@dZi/

Wikipedia

[edit] Noun

topology (plural topologies)

1. (mathematics) A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms.
2. (topology) A collection T of subsets of a set X such that the empty set is an element of T, X itself is an element of T, the union of any collection of elements of T is an element of T, and the intersection of any finite collection of elements of T is an element of T.
3. (medicine) The anatomical structure of part of the body.
4. (computing) The arrangement of nodes in a communications network.
5. (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.

[edit] Synonyms

• (mathematics) analysis situs

[edit] Derived terms

• point-set topology
• algebraic topology
• geometric topology

[edit] Related terms

• topological
• topological space
• topologically
• topologist

[edit] Translations

[edit] See also

• Appendix:Glossary of topology