### Some articles on *connected components, component, connected, components*:

Lorentz Group -

... As a manifold, it has four

**Connected Components**... As a manifold, it has four

**connected components**... The identity**component**of the Lorentz group is the set of all Lorentz transformations preserving both orientation and the direction of time ... isomorphic copy of the Klein four-group label the four**connected components**of the Lorentz group ...Stallings Theorem About Ends Of Groups - Ends of Graphs

... Let Γ be a

... Let Γ be a

**connected**graph where the degree of every vertex is finite ... of Γ the graph Γ − F has at most n infinite**connected components**... Informally, e(Γ) is the number of "**connected components**at infinity" of Γ ...Clopen Set - Properties

... A topological space X is

... A topological space X is

**connected**if and only if the only clopen sets are the empty set and X ... Any clopen set is a union of (possibly infinitely many)**connected components**... If all**connected components**of X are open (for instance, if X has only finitely many**components**, or if X is locally**connected**), then a set is clopen in X if and only ...Locally Connected Space - Components and Path Components

... Then, if each is

... Then, if each is

**connected**(respectively, path**connected**) then the union is**connected**(respectively, path**connected**) ... if there is a**connected**subset of X containing both x and y and if there is a path**connected**subset of X containing both x and y ... Moreover, if x and y are contained in a**connected**(respectively, path**connected**) subset A and y and z are**connected**in a**connected**(respectively, path**connected**) subset B, then the Lemma ...### Famous quotes containing the words components and/or connected:

“Hence, a generative grammar must be a system of rules that can iterate to generate an indefinitely large number of structures. This system of rules can be analyzed into the three major *components* of a generative grammar: the syntactic, phonological, and semantic *components*.”

—Noam Chomsky (b. 1928)

“When, in the course of human events, it becomes necessary for one people to dissolve the political bands which have *connected* them with another, and to assume the powers of the earth, the separate and equal station to which the laws of nature and of nature’s God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.”

—Thomas Jefferson (1743–1826)

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