Topological Space

Topological Space

Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The branch of mathematics that studies topological spaces in their own right is called topology.

Read more about Topological Space:  Definition, Comparison of Topologies, Continuous Functions, Examples of Topological Spaces, Topological Constructions, Classification of Topological Spaces, Topological Spaces With Algebraic Structure, Topological Spaces With Order Structure, Specializations and Generalizations

Famous quotes containing the word space:

    Thus all our dignity lies in thought. Through it we must raise ourselves, and not through space or time, which we cannot fill. Let us endeavor, then, to think well: this is the mainspring of morality.
    Blaise Pascal (1623–1662)