locally connected set
1Locally 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… …
2Connected 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 …
3Locally constant function — In mathematics, a function f from a topological space A to a set B is called locally constant, iff for every a in A there exists a neighborhood U of a , such that f is constant on U .Every constant function is locally constant.Every locally… …
4Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment …
5Clopen set — In topology, a clopen set (a portmanteau of closed open set) in a topological space is a set which is both open and closed. That this is possible for a set is not as counter intuitive as it might seem if the terms open and closed were thought of… …
6Filled Julia set — The filled in Julia set K(f c) of a polynomial f c is defined as the set of all points z, of dynamical plane that have bounded orbit with respect to f c K(f c) overset{underset{mathrm{def{{=} { z in mathbb{C} : f^{(k)} c (z) ot o infty as k o… …
7Julia set — In complex dynamics, the Julia set J(f), [Note that in other areas of mathematics the notation J(f), can also represent the Jacobian matrix of a real valued mapping f, between smooth manifolds.] of a holomorphic function f, informally consists of …
8The Nervous Set — the jazz musical born in St. Louis’ legendary Gaslight Square entertainment district in 1959, described the Beat Generation, the young people in post World War II, pre Vietnam America, swimming in disillusioned angst and apathy, angry, poetic an …
9Baire space (set theory) — In mathematics field of set theory, especially descriptive set theory, the Baire space is the set of all infinite sequences of natural numbers with a certain topology. This space is commonly used in descriptive set theory, to the extent that its… …
10Service set identifier — A service set identifier, or SSID, is a name used to identify the particular 802.11 wireless LANs to which a user wants to attach. A client device will receive broadcast messages from all access points within range advertising their SSIDs, and… …
