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Clearly explain Isomorphisms

  1. Mar 27, 2005 #1
    Could someone clearly explain this subject? Going over some linear algebra the moment and I don't see what this topic matter is really about (isomorphisms).
     
  2. jcsd
  3. Mar 27, 2005 #2

    matt grime

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    Isomophisms are always (in any sense) about bijective maps that preserve the structure of the objects. Bijective means invertible. So if X and Y are isomorphic (ie there are isomorphisms between them) then we are saying X and Y are equivalent (but not necessarily equal) objects in what ever sense we are talking about.

    Here an isomorphism is a linear map that has an inverse (that is also a linear map).
     
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