topological complement

См. также в других словарях:

• 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… …   Wikipedia

• Topological group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …   Wikipedia

• Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… …   Wikipedia

• Topological graph theory — In mathematics topological graph theory is a branch of graph theory. It studies the embedding of graphs in surfaces, and graphs as topological spaces. [J.L. Gross and T.W. Tucker, Topological graph theory, Wiley Interscience, 1987] Embedding a… …   Wikipedia

• Topological Boolean algebra — * In abstract algebra and mathematical logic, topological Boolean algebra is one of the many names that have been used for an interior algebra in the literature.* In topological algebra the study of topological spaces with algebraic structure, a… …   Wikipedia

• Finite topological space — In mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space for which there are only finitely many points.While topology is mostly interesting only for… …   Wikipedia

• Orthogonal complement — In the mathematical fields of linear algebra and functional analysis, the orthogonal complement W⊥ of a subspace W of an inner product space V is the set of all vectors in V that are orthogonal to every vector in W (Halmos 1974, p. 123):… …   Wikipedia

• Kuratowski's closure-complement problem — In the mathematical subject of topology, Kuratowski s closure complement problem refers to the statement that at most 14 distinct sets can be obtained by repeatedly applying the set operations of closure and complement to a given starting subset… …   Wikipedia

• Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …   Wikipedia

• Open set — Example: The points (x, y) satisfying x2 + y2 = r2 are colored blue. The points (x, y) satisfying x2 + y2 < r2 are colored red. The red points form an open set. The blue points form a closed set. The union of the red and blue points is a… …   Wikipedia

• Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… …   Wikipedia