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:
“In bourgeois society, the French and the industrial revolution transformed the authorization of political space. The political revolution put an end to the formalized hierarchy of the ancien regimé.... Concurrently, the industrial revolution subverted the social hierarchy upon which the old political space was based. It transformed the experience of society from one of vertical hierarchy to one of horizontal class stratification.”
—Donald M. Lowe, U.S. historian, educator. History of Bourgeois Perception, ch. 4, University of Chicago Press (1982)