That was enough for him to take the opening set.

A lot of the good stuff came in the opening set.

Note that the neighbourhood need not be an open set itself.

This open set can then be used to distinguish between the two points.

The final set saw a return of the intense play seen in the opening sets.

Three levels up, an open set of doors faced the landing.

The theory has been generalized to more general open sets, too.

We shall show that the complement of S is an open set.

They are equivalent to the more commonly used open set definition.

Every open set is a union of a collection of these.

The opening set was touted to be the biggest in the event's history.

They each broke serve twice in the first seven games of the opening set, until things settled down.

But Hingis needed just one chance to serve out the opening set.

It is in general not true that every open set is also closed.

It can be constructed by taking the union of all the open sets contained in A.

Let be an open set in the complex plane.

That is, all of the points not belonging to a certain open sets forms a closed set.

The open set G could vary with f and need not be connected.

The boundary of every open set is closed and nowhere dense.

It also introduces a definition which make sense in any open set and dimension.

Thus the curves define the value of in an open set about our initial plane.

The effects, for example, seem a little uneven, and at times lack the punch of the opening set piece.

Let be an open set in and a closed discrete subset.

The complement of an open set is called closed.

It was, he said, that simple an exercise once he got beyond the opening set.