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)
“War and culture, those are the two poles of Europe, her heaven and hell, her glory and shame, and they cannot be separated from one another. When one comes to an end, the other will end also and one cannot end without the other. The fact that no war has broken out in Europe for fifty years is connected in some mysterious way with the fact that for fifty years no new Picasso has appeared either.”
—Milan Kundera (b. 1929)
“There is commonly sufficient space about us. Our horizon is never quite at our elbows.”
—Henry David Thoreau (1817–1862)