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 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 …
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 …
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 …
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?
The word isomorphism is related to category, in which you work. For example, if you work in the category $\mathbf {Top}$ of topological spaces, the words isomorphism and homeomorphism …
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 …
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 …
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 …
$V$ is isomorphic to $V^ {\ast\ast}$, the double dual space of $V$.
$V$ is isomorphic to $V^ {\ast\ast}$, the double dual space of $V$. Ask Question Asked 12 years, 10 months ago Modified 12 years, 10 months ago