connected subset

См. также в других словарях:

• Connected space — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected …   Wikipedia

• connected component — noun A connected subset that is, moreover, maximal with respect to being connected. See Also: strongly connected component …   Wiktionary

• Connected Device Configuration — The Connected Device Configuration (CDC) is a specification of a framework for Java ME applications describing the basic set of libraries and virtual machine features that must be present in an implementation. The CDC is combined with one or more …   Wikipedia

• Connected space/Proofs — Every path connected space is connectedLet S be path connected and suppose, for contradiction, that S is not connected. Then S = A cup B for nonempty disjoint open sets A and B . Let x in A, y in B. Since S is path connected, there exists a… …   Wikipedia

• Connected Limited Device Configuration — The Connected Limited Device Configuration (CLDC) is a specification of a framework for Java ME applications describing the basic set of libraries and virtual machine features that must be present in an implementation. The CLDC is combined with… …   Wikipedia

• Locally connected space — In this topological space, V is a neighbourhood of p and it contains a connected neighbourhood (the dark green disk) that contains p. In topology and other branches of mathematics, a topological space X is locally connected if every point admits… …   Wikipedia

• Simply connected space — In topology, a topological space is called simply connected (or 1 connected) if it is path connected and every path between two points can be continuously transformed, staying within the space, into any other path while preserving the two… …   Wikipedia

• n-connected — This article is about the concept in algebraic topology. For the concept in graph theory, see Connectivity (graph theory). In the mathematical branch of algebraic topology, specifically homotopy theory, n connectedness is a way to say that a… …   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

• Topological property — In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space …   Wikipedia

• Matroid — In combinatorics, a branch of mathematics, a matroid (  /ˈmeɪ …   Wikipedia