simply connected
adjective Date: 1893 being or characterized by a surface that is divided into two separate parts by every closed curve it contains

New Collegiate Dictionary. 2001.

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  • simply-connected — /sim plee keuh nek tid/, adj. Math. 1. (of a set or domain) having a connected complement. 2. (of a set or domain) having the property that every simple closed curve in the set can be shrunk to a point without intersecting the boundary of the set …   Universalium

  • simply connected — adjective Having its fundamental group a singleton. Syn: 1 connected See Also: simple connectivity, simple connectedness …   Wiktionary

  • simply-connected — /sim plee keuh nek tid/, adj. Math. 1. (of a set or domain) having a connected complement. 2. (of a set or domain) having the property that every simple closed curve in the set can be shrunk to a point without intersecting the boundary of the set …   Useful english dictionary

  • simply connected — adjective : being or characterized by a surface divided into two separate parts by every closed curve it contains …   Useful english dictionary

  • 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

  • Simply connected at infinity — In topology, a branch of mathematics, a topological space X is said to be simply connected at infinity if for all compact subsets C of X , there is a compact set D in X containing C so that the induced map: pi 1(X D) o pi 1(X C),is trivial.… …   Wikipedia

  • Locally simply connected space — In mathematics, a locally simply connected space is a topological space that admits a basis of simply connected sets. Every locally simply connected space is also locally path connected and locally connected.The circle is an example of a locally… …   Wikipedia

  • Semi-locally simply connected — In mathematics, in particular topology, a topological space X is called semi locally simply connected if every point x in X has a neighborhood U such that the homomorphism from the fundamental group of U to the fundamental group of X , induced by …   Wikipedia

  • Timelike simply connected — Suppose a Lorentzian manifold contains a closed timelike curve (CTC). No CTC can be continuously deformed as a CTC (is timelike homotopic) to a point, as that point would not be causally well behaved. Therefore, any Lorentzian manifold containing …   Wikipedia

  • Connected farm — in Windham, Maine. The barn dates from the late 18th century. The house was built in three stages during the 19th century. The unconnected garage was a 20th century addition. All doors of the structure are visible in this view from the south side …   Wikipedia

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