Isomorphism class

An isomorphism class is a collection of mathematical objects isomorphic to each other.[1]

Isomorphism classes are often defined if the exact identity of the elements of the set is considered irrelevant, and the properties of the structure of the mathematical object are studied. Examples of this are ordinals and graphs. However, there are circumstances in which the isomorphism class of an object conceals vital internal information about it; consider these examples:


  1. Awodey, Steve (2006). "Isomorphisms". Category theory. Oxford University Press. p. 11. ISBN 9780198568612.
This article is issued from Wikipedia - version of the 6/30/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.