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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 exactly is an isomorphism? - Mathematics Stack Exchange

    Aug 4, 2021 · An isomorphism is a particular type of map, and we often use the symbol $\cong$ to denote that two objects are isomorphic to one another. Two objects are isomorphic there is a $1$ - …

  3. 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 order, …

  4. abstract algebra - What is exactly the meaning of being isomorphic ...

    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 real …

  5. 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 the points, they …

  6. 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?

  7. 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 more details. …

  8. 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 can explain the idea …

  9. Isomorphism vs equality of graphs - Mathematics Stack Exchange

    I have just started studying graph theory and having trouble with understanding the difference b/w isomorphism and equality of two graphs.According what I have studied so far, I am able to conclude...

  10. 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 between two …