Examples of 'up to isomorphism' in a sentence
Meaning of "up to isomorphism"
up to isomorphism - This mathematical phrase indicates that two objects or structures can be considered equivalent or identical when viewed from a certain perspective or under certain conditions
How to use "up to isomorphism" in a sentence
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up to isomorphism
Uniqueness up to isomorphism is specified by the universal property.
The universal covering graph is unique up to isomorphism.
Up to isomorphism.
Representation theory therefore seeks to classify representations up to isomorphism.
It is unique up to isomorphism.
The module has only countably many direct summands up to isomorphism.
H is unique up to isomorphism.
It can be shown that such splitting fields exist and are unique up to isomorphism.
Up to isomorphism all antitone Galois connections between power sets arise in this way.
This bilinear map is unique up to isomorphism.
Well, up to isomorphism.
The groups are listed up to isomorphism.
A theory is called categorical if it has only one model, up to isomorphism.
The free category on a quiver can be described up to isomorphism by a universal property.
The Bohr compactification exists and is unique up to isomorphism.
See also
This decomposition is unique up to isomorphism.
More formally, the third level classifies spaces up to isomorphism.
There are no other examples up to isomorphism.
A graph is chromatically unique if it is determined by its chromatic polynomial, up to isomorphism.
The algebraic classification was accomplished in two ways, up to isomorphism and up to isotopy.
Much like the axiomatic approach to the reals, these axioms guarantee uniqueness up to isomorphism.
However, it is unique up to isomorphism.
Each factor has a standard representation, which is unique up to isomorphism.
This Boolean algebra is unique up to isomorphism.
For example, many concepts in category theory are defined to be unique up to isomorphism.
The object A itself is only unique up to isomorphism.
Over the real numbers, there are three such Jordan algebras up to isomorphism.
Next, one shows that the root system determines the Lie algebra up to isomorphism.
If the continuum hypothesis holds then N * is the unique Parovicenko space, up to isomorphism.
Every graph has a core, which is determined uniquely, up to isomorphism.
There is exactly one quadratic field for every fundamental discriminant D0 ≠ 1, up to isomorphism.
Thus, there is only one group of order 15 up to isomorphism.
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Examples of using Isomorphism
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A canonical isomorphism is a canonical map that is an isomorphism
The inverse g is also an isomorphism with inverse f
An isomorphism of super vector spaces is a bijective homomorphism
