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  1. terminology - What does "isomorphic" mean in linear algebra ...

    Here an isomorphism just a bijective linear map between linear spaces. Two linear spaces are isomorphic if there exists a linear isomorphism between them.

  2. What does it mean when two Groups are isomorphic?

    Nov 28, 2015 · Isomorphism only means what it says, a homomorphism which is bijective. As a consequence two isomorphic groups share many properties, number of elements of a specific …

  3. abstract algebra - What is exactly the meaning of being …

    11 I know that the concept of being isomorphic depends on the category we are working in. So specifically when we are building a theory, like when we define the natural numbers, or the …

  4. Are these two graphs isomorphic? Why/Why not?

    Mar 10, 2019 · Are these two graphs isomorphic? According to Bruce Schneier: "A graph is a network of lines connecting different points. If two graphs are identical except for the names of …

  5. What's the difference between isomorphism and homeomorphism?

    I think that they are similar (or same), but I am not sure. Can anyone explain the difference between isomorphism and homeomorphism?

  6. How to tell whether two graphs are isomorphic?

    Oct 24, 2017 · Unfortunately, if two graphs have the same Tutte polynomial, that does not guarantee that they are isomorphic. Links See the Wikipedia article on graph isomorphism for …

  7. linear algebra - Difference between epimorphism, isomorphism ...

    Can somebody please explain me the difference between linear transformations such as epimorphism, isomorphism, endomorphism or automorphism? I would appreciate if somebody …

  8. basic difference between canonical isomorphism and isomorphims

    Apr 26, 2019 · What is the basic difference between canonical isomorphism and isomorphims? I need some basic analysis. As far as I consider on canonical isomorphism means a similarity …

  9. linear algebra - What can be said about the dual space of an …

    What can be said about the dual space of an infinite-dimensional real vector space? Are both spaces isomorphic? Or shall we have something like the dual of the dual is isomorphic to the …

  10. What are useful tricks for determining whether groups are …

    Proving that two groups are isomorphic is a provably hard problem, in the sense that the group isomorphism problem is undecidable. Thus there is literally no general algorithm for proving …