Locally Connected Space
In topology and other branches of mathematics, a topological space X is locally connected if every point admits a neighbourhood basis consisting entirely of open, connected sets.
Read more about Locally Connected Space: Background, Definitions and First Examples, Properties, Components and Path Components, Quasicomponents, More On Local Connectedness Versus Weak Local Connectedness
Famous quotes containing the words locally, connected and/or space:
“To see ourselves as others see us can be eye-opening. To see others as sharing a nature with ourselves is the merest decency. But it is from the far more difficult achievement of seeing ourselves amongst others, as a local example of the forms human life has locally taken, a case among cases, a world among worlds, that the largeness of mind, without which objectivity is self- congratulation and tolerance a sham, comes.”
—Clifford Geertz (b. 1926)
“A peasant becomes fond of his pig and is glad to salt away its pork. What is significant, and is so difficult for the urban stranger to understand, is that the two statements are connected by an and and not by a but.”
—John Berger (b. 1926)
“As photographs give people an imaginary possession of a past that is unreal, they also help people to take possession of space in which they are insecure.”
—Susan Sontag (b. 1933)