- simply connected curve
- матем.односвязная кривая
English-Russian scientific dictionary. 2008.
simply connected curve
Смотреть что такое "simply connected curve" в других словарях:
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 — /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 Date: 1893 being or characterized by a surface that is divided into two separate parts by every closed curve it contains … New Collegiate Dictionary
simply connected — adjective : being or characterized by a surface divided into two separate parts by every closed curve it contains … Useful english dictionary
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 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
Jordan curve theorem — Illustration of the Jordan curve theorem. The Jordan curve (drawn in black) divides the plane into an inside region (light blue) and an outside region (pink). In topology, a Jordan curve is a non self intersecting continuous loop in the plane.… … 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
Algebraic curve — In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with… … Wikipedia
Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) … Wikipedia
simplyconnected — simply connected adj. Of, being, or characterized by the property of a surface or other space such that any closed curve within it can be continuously shrunk to a point without leaving the space. * * * … Universalium
