Category:Definitions/Order Isomorphisms
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This category contains definitions related to Order Isomorphisms.
Related results can be found in Category:Order Isomorphisms.
Let $\phi: S \to T$ be a bijection such that:
- $\phi: S \to T$ is order-preserving
- $\phi^{-1}: T \to S$ is order-preserving.
Then $\phi$ is an order isomorphism.
Subcategories
This category has only the following subcategory.
O
- Definitions/Order Properties (1 P)
Pages in category "Definitions/Order Isomorphisms"
The following 18 pages are in this category, out of 18 total.
I
O
- Definition:Order Automorphism
- Definition:Order Isomorphic Well-Orderings
- Definition:Order Isomorphism
- Definition:Order Isomorphism on Well-Orderings (Class Theory)
- Definition:Order Isomorphism/Definition 1
- Definition:Order Isomorphism/Definition 2
- Definition:Order Isomorphism/Definition 3
- Definition:Order Isomorphism/Isomorphic Sets
- Definition:Order Isomorphism/Well-Orderings
- Definition:Order Isomorphism/Well-Orderings/Class Theory
- Definition:Order Property
- Definition:Ordered Group Isomorphism
- Definition:Ordered Semigroup Isomorphism
- Definition:Ordered Structure Automorphism
- Definition:Ordered Structure Isomorphism