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In an arbitrary topological space this may not be possible.
He is known for his work on topological string theory.
More precisely, a topological space has a certain kind of set, called open sets.
Conversely, in order theory, one often makes use of topological results.
Then, a topological sort gives an order in which to perform the jobs.
In all of the following definitions, X is again a topological space.
This makes it a simple example of a topological graph.
As a uniform space, every topological group is completely regular.
They were studied by who found topological conditions for their existence.
For another example consider the category of topological spaces, Top.
On the other hand the topological theory more quickly reached a definitive form.
This makes a topological space that is no longer a manifold.
One can thus ask whether a given topological ring R is complete.
"Did you think that topological mathematics was the province of your science only?"
Sometimes the second or third property above is taken as the definition of the topological interior.
As may be expected, this produces a complete topological ring.
New research seems to show that it may be a topological insulator.
In many examples the are not just sets but rather topological spaces.
Some topological spaces may be endowed with a group law.
This shift in perspective is referred to as the topological turn.
Topological methods, on the other hand, do not start from a given canonical form.
See the article on topological properties for more details and examples.
Thus we use a category to generalize a topological space.
The open sets of a topological space, ordered by inclusion.
A topological space X is connected if these are the only two possibilities.
Her drawings involve linear, fugue-like structures that become topologic fields.
For spatial or planar topologic or topographic sets see map.
The creation of a GIUH is possible given nothing more than topologic data for a particular drainage basin.
(Probability of unity, subject to assumptions: first, that topologic social space is continuous and is included in the physical space of the Western Federation and, second, that at least one concatenative path exists between apprehended subjects and star group.