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:

    I would have broke mine eye-strings, cracked them, but
    To look upon him, till the diminution
    Of space had pointed him sharp as my needle;
    Nay, followed him till he had melted from
    The smallness of a gnat to air, and then
    Have turned mine eye and wept.
    William Shakespeare (1564–1616)