Word.ws English Dictionary

disjoint union topology

disjoint union topology noun: a topology which is applicable to the disjoint union of a given set of topological spaces and is the largest (most inclusive) topology that preserves the continuity of each contributing space as represented in the union.

Noun

disjoint union topology (plural disjoint union topologies)

  1. A topology which is applicable to the disjoint union of a given set of topological spaces and is the largest (most inclusive) topology that preserves the continuity of each contributing space as represented in the union.
    • The reader will recall that the morphism and object sets of A'#61;#92;coprod#95;#123;p,q#92;inP#125;A#95;c(q,p) were not necessarily given the disjoint union topologies.1978, Maria Louise Shea Terrell, Topological 2-categories and Principal Topological Categories, University of Virginia, page 19
    • Given any indexed collection of topological spaces #92;left#92;#123;X#95;#92;alpha#92;right#92;#125;#95;#123;#92;alpha#92;inA#125;, we define the disjoint union topology on #92;textstyle#92;coprod#95;#123;#92;alpha#92;inA#125;X#95;#92;alpha by declaring a subset of...2003, John M. Lee, Introduction to Smooth Manifolds, Springer, page 548

Forms of disjoint union topology

pluraldisjoint union topologies

Questions about disjoint union topology

What does disjoint union topology mean?
Disjoint union topology means a topology which is applicable to the disjoint union of a given set of topological spaces and is the largest (most inclusive) topology that preserves the continuity of each contributing space as represented in the union.
What part of speech is disjoint union topology?
Disjoint union topology is a noun.
What is the plural of disjoint union topology?
The plural of disjoint union topology is disjoint union topologies.

Words near disjoint union topology in the dictionary

  1. disjoint
  2. disjoint set
  3. disjoint sets
  4. disjoint union
  5. disjoint union topologies
  6. disjoint union topology
  7. disjoint unions
  8. disjointed
  9. disjointedly
  10. disjointedness
  11. disjointednesses

Source and license

Adapted from Wiktionary: disjoint union topology (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “disjoint union topology.” Word.ws, https://word.ws/disjoint_union_topology. Based on Wiktionary, CC BY-SA 4.0.