- 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.*

- 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.*

**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