- simply connected set
- односвязное множество
English-Russian scientific dictionary. 2008.
simply connected set
Смотреть что такое "simply connected set" в других словарях:
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
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
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
Set (mythology) — In Ancient Egyptian mythology, Set (also spelled Seth, Sutekh or Seteh) is an ancient god, who was originally the god of the desert, storms, and chaos. Because of the developments in the Egyptian language over the 3,000 years that Set was… … Wikipedia
Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment … Wikipedia
set-off — index counterclaim, drawback Burton s Legal Thesaurus. William C. Burton. 2006 set off … Law dictionary
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
n-connected — This article is about the concept in algebraic topology. For the concept in graph theory, see Connectivity (graph theory). In the mathematical branch of algebraic topology, specifically homotopy theory, n connectedness is a way to say that a… … 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
