In the end, the falls out of all topologically important quantities.

The actual choice does not matter, but it has to be topologically consistent.

Note 1: this example makes use of the fact that 3-dimensional space is topologically trivial.

Topologically, it was possible to do such a thing, but Kirk didn't understand how.

This is topologically equivalent to playing on the surface of a cylinder.

If the loop is topologically trivial, it has no effect on the stored information.

It just reduces the point set until points become topologically distinguishable.

This layer is topologically the same as that in mica.

Topologically and artistically, the huge cathedral is indeed the high point of the town.

It had been obvious even to the topologically blind.

That is, each end represents a topologically distinct way to move to infinity within the space.

A cup with one handle, for instance, is topologically equivalent to a doughnut.

It is not so obvious that this is topologically equivalent.

Along with the set of pyramids, these figures are topologically self-dual.

It is topologically related to a polyhedra sequence; see discussion.

It is usually required to be a reasonably nice set topologically, in one of several precisely defined ways.

This is exactly what it means for x and y to be topologically distinguishable.

This learning procedure leads to a topologically ordered mapping of the input data.

It is, however, R since the topologically distinguishable points are separable.

Its intuitive meaning is that the points of X are topologically distinguishable.

Intuitively, this means that it consists of four topologically separated pieces.

A is a topologically closed set in the norm topology of operators.

An R space is one in which this holds for every pair of topologically distinguishable points.

Topologically, a map is a 2-cell decomposition of a closed compact 2-manifold.

Topologically other forms can be constructed without regular faces.