
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.
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 …
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 …
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 …
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?
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 …
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 …
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 …
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 …
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 …