Examples of 'homeomorphism' in a sentence
Meaning of "homeomorphism"
homeomorphism (noun) - In mathematics, specifically in topology, it denotes a continuous mapping between two spaces that preserves their topological properties
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- a continuous bijection from one topological space to another, with continuous inverse.
- a similarity in the crystal structure of unrelated compounds
How to use "homeomorphism" in a sentence
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homeomorphism
This is an example of a homeomorphism that is not a diffeomorphism.
One must not confuse homomorphism with homeomorphism.
This map is a homeomorphism onto its image.
From this need arises the notion of homeomorphism.
This is a local homeomorphism but not a homeomorphism.
Its equivalence classes are called homeomorphism classes.
A bijective local homeomorphism is therefore a homeomorphism.
A topological invariant is a property which is preserved under homeomorphism.
Such a homeomorphism is given by using ternary notation of numbers.
The term used to sound more complicated is homeomorphism.
Every local homeomorphism is a continuous and open map.
A continuous function with a continuous inverse function is called a homeomorphism.
Finding homeomorphism between topological spaces.
It remains to show that m is a homeomorphism.
Homeomorphism can be considered the most basic topological equivalence.
See also
A property which is invariant under homeomorphism is called a topological property.
This homeomorphism can be outlined as.
The surjectivity of follows from the fact that is a homeomorphism.
If the curve is smooth then the homeomorphism can be chosen to be a diffeomorphism.
A homeomorphism is a bijection that is continuous and whose inverse is also continuous.
Two spaces are called homeomorphic if there exists a homeomorphism between them.
This homeomorphism transfers the two topologies into each other.
The definition implies that every covering map is a local homeomorphism.
For a homeomorphism we only require that f and its inverse be continuous.
Connectedness is preserved by homeomorphism.
The homeomorphism can.
An embedding of into is an injective map which is a homeomorphism onto its image.
Homeomorphism of the circle.
The equivalence is often given by ambient isotopy but can be given by homeomorphism.
Is a homeomorphism onto e.
Every local diffeomorphism is also a local homeomorphism and therefore an open map.
A homeomorphism between topological spaces induces a natural isomorphism between their fundamental groups.
A differentiable parametrization of a curve is a homeomorphism between the domain of the parametrization and the curve.
It is enough to show that Hf is a homeomorphism.
The homeomorphism classes of surfaces have been completely described see Surface topology.
It follows that the homeomorphism group of S is trivial.
A homeomorphism between Baire space and the irrationals can be constructed using continued fractions.
Topological invariant A topological invariant is a property which is preserved under homeomorphism.
Thus P is locally a homeomorphism and so takes open sets to open sets.
The inversion operation on a topological group G is a homeomorphism from G to itself.
By definition, every homeomorphism is also a local homeomorphism.
In this case, the solution is unique up to homeomorphism.
A self-homeomorphism is a homeomorphism of a topological space and itself.
The log function gives a homeomorphism between N.
A self-homeomorphism is a homeomorphism from a topological space onto itself.
Thus, the shell is determined up to a homeomorphism.
By definition, it is a homeomorphism of with itself.
Graph homeomorphism is a different notion, not related directly to homomorphisms.
In general topology, an embedding is a homeomorphism onto its image.
A subdivision or homeomorphism of a graph is any graph obtained by subdividing some ( or no ) edges.
