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)
“Religious fervor makes the devil a very real personage, and anything awe-inspiring or not easily understood is usually connected with him. Perhaps this explains why, not only in the Ozarks but all over the State, his name crops up so frequently.”
—Administration in the State of Miss, U.S. public relief program (1935-1943)
“The within, all that inner space one never sees, the brain and the heart and other caverns where thought and feeling dance their sabbath.”
—Samuel Beckett (1906–1989)