(every set is open). Every discrete space is extremally disconnected. Every indiscrete space is both extremally disconnected and connected. The Stone–Čech compactification...

not every totally disconnected Hausdorff space is extremally disconnected. Let X {\displaystyle X} be an arbitrary topological space. Let x ∼ y {\displaystyle...

topological space Extremally disconnected space – Topological space in which the closure of every open set is open Locally connected space – Property of...

algebras are Ockham algebras. Examples: The open-set lattice of an extremally disconnected space is a Stone algebra. The lattice of positive divisors of a given...

Rickart spaces and the corona sets of locally compact σ-compact Hausdorff spaces are sub-Stonean spaces. Extremally disconnected space F-space Gillman...

dimension (real or stable rank) connectedness (projectionless) extremally disconnected spaces (AW*-algebras) Individual elements of a commutative C*-algebra...

space is the whole space, which is an open set, every hyperconnected space is extremally disconnected. The continuous image of a hyperconnected space...

this result that no infinite ξ-adic Hausdorff space can be an extremally disconnected space. Hyadic spaces were introduced by Eric van Douwen. They are...

than one point. Extremally disconnected. A space is extremally disconnected if every open set has an open closure. Path-connected. A space X is path-connected...

AL-space X is a Banach lattice that can be identified with C R ( K ) {\displaystyle C_{\mathbb {R} }(K)} , where K is a compact extremally disconnected topological...

projective objects in the category of compact Hausdorff spaces are precisely the extremally disconnected spaces. This result is due to Gleason (1958), with a simplified...

theorem. Stone spaces, compact totally disconnected Hausdorff spaces, form the abstract framework in which these spectra are studied. Such spaces are also useful...

not extremally disconnected in general (there are open sets, for example the even numbers from ω, whose closure is not open). The topological spaces ω1...

Every discrete space is totally disconnected. Every non-empty discrete space is second category. Any two discrete spaces with the same cardinality are homeomorphic...

every open subset of X is again an open set, and therefore X is extremally disconnected. If S is any subset of X with more than one element, then all elements...

Hausdorff space, extremally disconnected space T. (This space T is unique up to homeomorphism). where if in addition, Y is a vector space over the real...

minutes." Portland operator: "Will do so. It is now disconnected." Boston: "Mine is disconnected, and we are working with the auroral current. How do...

Math. Soc., 73 (1967), pp. 87–91 Homogeneity problems for extremally disconnected spaces - Comment. Math. Univ. Carolin., 8 (1967), pp. 757–763 Baire...

locally connected. A space in which all components are one-point sets is called totally disconnected. Related to this property, a space X is called totally...

Boolean algebra is complete if and only if its Stone space of prime ideals is extremally disconnected. Sikorski's extension theorem states that if A is a...

extremally disconnected). Any L p {\displaystyle L^{p}} space with the (almost everywhere) pointwise partial order is a Dedekind complete Riesz space...

Reality Bites (1998) CD And the Winner Is… (2000) LP/CD Cold, Cheap & Disconnected (2002) LP/CD The 4Q Mangrenade (2005) LP/CD Compilation albums A.I.R...

thinking behind Raw Space: Raw Space touches on the themes I’ve been exploring since my first album but in perhaps the most extreme and technicolor way...

fuelling operations began on 25 November 2021, the fuelling system was disconnected on 3 December 2021, and verifications were concluded on 5 December 2021...

retained a degree of autonomy. Hitler's leadership became increasingly disconnected from reality as the war turned against Germany, with the military's defensive...

negative criticism aimed at game developers. He stated it was "funny how disconnected some players are from the realities of game development, and yet they...

"NASA's Swift Spies Comet Lulin". NASA. 2009-02-20. Retrieved 2013-08-03. "DISCONNECTED TAIL". spaceweather.com. Retrieved 2009-02-09. Wikimedia Commons has...

achieve apparent faster-than-light travel by contracting space in front of it and expanding space behind it, under the assumption that a configurable energy-density...

power, and protection. Zion serves as a living space for humans who have chosen to be disconnected from the Matrix and fight against the machines that...

Expedition 25 was the 25th long-duration mission to the International Space Station (ISS). Expedition 25 began with the Soyuz TMA-18 undocking on 25 September...