Word.ws English Dictionary

order type

order type noun: in the context of sets equipped with an order (especially, the context of totally ordered sets), the characteristic of being a member of some equivalence class of such sets under the equivalence relation "existence of an order-preserving bijection".

Noun

order type (plural order types)

  1. In the context of sets equipped with an order (especially, the context of totally ordered sets), the characteristic of being a member of some equivalence class of such sets under the equivalence relation "existence of an order-preserving bijection".
    • 1965 [John Wiley], Raymond L. Wilder, Introduction to the Foundations of Mathematics: 2nd Edition, 2012, Dover, page 116,
      Another way of putting this is to state that the order type is that aspect of the arrangement of the elements of a simply ordered set, which remains unchanged when any two...
    • In [13] Chajoth studied how the order type of a chain can alter if we change the position of elements in a linearly ordered set, resp. if we introduce a new element in a linearly ordered set.2005, Egbert Harzheim, Ordered Sets, Springer, page 332

Forms of order type

pluralorder types
alternative formorder-type
alternative formordertype

Questions about order type

What does order type mean?
Order type means in the context of sets equipped with an order (especially, the context of totally ordered sets), the characteristic of being a member of some equivalence class of such sets under the equivalence relation "existence of an order-preserving bijection".
What part of speech is order type?
Order type is a noun.
What is the plural of order type?
The plural of order type is order types.

Words near order type in the dictionary

  1. order streaming
  2. order to cash
  3. order to show cause
  4. order tree
  5. order trees
  6. order type
  7. order types
  8. order up
  9. order'd
  10. order-consolidation
  11. order-consolidations

Source and license

Adapted from Wiktionary: order type (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.

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