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simply connected space

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  • 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

  • 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

  • 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

  • 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 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

  • 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

  • N-connected space — n connected redirects here; for the concept in graph theory see Connectivity (graph theory). In the mathematical branch of topology, a topological space X is said to be n connected if and only if it is path connected and its first n homotopy… …   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

  • Space Lords — is an arcade game released by Atari Games in 1992. It was a first person perspective space flight combat simulator. The gameplay allowed a player to fly in any direction he chose. It is notable in that it was, in fact, a multi player form of an… …   Wikipedia

  • Connected sum — In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the… …   Wikipedia

  • Space Shuttle Solid Rocket Booster — The Space Shuttle Solid Rocket Boosters (SRBs) are the pair of large solid rockets used by the Space Shuttle during the first two minutes of powered flight. They are located on either side of the orange external propellant tank. Each SRB produces …   Wikipedia

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