homeomorphism

In this case, the solution is unique up to homeomorphism.

Up to homeomorphism, it is one of only two different 1-manifolds without boundary, the other being the circle.

It follows that the homeomorphism group of S is trivial.

By definition, it is a homeomorphism of "X" with itself.

Although the construction uses the choice of the balls, the result is unique up to homeomorphism.

Such a homeomorphism is referred to as a triangulation of the given space.

Glue the two copies of the surface, on the boundary, by some homeomorphism.

This homeomorphism is called the monodromy of the surface bundle.

Every local homeomorphism is a continuous and open map.

The function from X to itself which swaps a and b is a homeomorphism.

Such a homeomorphism is given by ternary notation of numbers.

It is a quasiconformal homeomorphism of the extended complex plane.

The unit interval is a complete metric space, homeomorphism to the extended real number line.

Note that since and are both homeomorphisms, the transition map is also a homeomorphism.

A self-homeomorphism is a homeomorphism of a topological space and itself.

There is a name for the kind of deformation involved in visualizing a homeomorphism.

Since "F" is locally a homeomorphism, it must be a finite set.

Two spaces are called homeomorphic if there exists a homeomorphism between them.

In this case they are "obviously" homeomorphic, as one can easily produce a homeomorphism.

This follows from the fact that the image of a normal space under a homeomorphism is always normal.

That is, if there exists a homeomorphism such that .

If is a homeomorphism then and are topologically conjugate.

Let be a topological space, and a homeomorphism.

From this need arises the notion of homeomorphism.

Technical terms such as homeomorphism and integrable have precise meanings in mathematics.