Category:Order Types

From ProofWiki
Jump to navigation Jump to search

This category contains results about Order Types.
Definitions specific to this category can be found in Definitions/Order Types.

Let $\struct {S, \preccurlyeq_1}$ and $\struct {T, \preccurlyeq_2}$ be ordered sets.

Then $S$ and $T$ have the same (order) type if and only if they are order isomorphic.

The order type of an ordered set $\struct {S, \preccurlyeq}$ can be denoted $\map \ot {S, \preccurlyeq}$.


This category has the following 2 subcategories, out of 2 total.