connected space

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

connected space — noun Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces …   Wiktionary

connected space — Математика: связное пространство …   Универсальный англо-русский словарь

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 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

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

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

Uniformly connected space — In topology and related areas of mathematics a uniformly connected space or Cantor connected space is a uniform space U such that every uniformly continuous functions from U to a discrete uniform space is constant.A uniform space U is called… …   Wikipedia

n-connected space — мат. n связное пространство …   Большой англо-русский и русско-английский словарь

affinely connected space — Математика: аффинно связное пространство, пространство аффинной связности …   Универсальный англо-русский словарь