a normal space is a topological space X that satisfies Axiom T4: every two disjoint closed sets of X have disjoint open neighborhoods. A normal Hausdorff...

manifolds of arbitrary dimension embedded in a Euclidean space. The normal vector space or normal space of a manifold at point P {\displaystyle P} is the set...

Dieudonné (1944). Every compact space is paracompact. Every paracompact Hausdorff space is normal, and a Hausdorff space is paracompact if and only if it...

justification, those space characters can be used to supplement the electronic formatting when needed. In computer character encodings, there is a normal general-purpose...

In mathematics, a topological space X {\displaystyle X} is called collectionwise normal if for every discrete family Fi (i ∈ I) of closed subsets of X...

one third of the normal space; in other contexts, its width is about 70% of the normal space but may resemble that of the thin space (U+2009), at least...

specifically in the field of topology, a monotonically normal space is a particular kind of normal space, defined in terms of a monotone normality operator...

normal space is normal and every fully T4 space is T4. Moreover, one can show that every fully T4 space is paracompact. In fact, fully normal spaces actually...

Normal(s) or The Normal(s) may refer to: Look up normal in Wiktionary, the free dictionary. Normal (2003 film), starring Jessica Lange and Tom Wilkinson...

Unicode provide spaces of several widths, which are encoded using distinct numeric code points. For example, Unicode U+0020 is the "normal" space character...

topology, Urysohn's lemma is a lemma that states that a topological space is normal if and only if any two disjoint closed subsets can be separated by...

a topological space X is locally normal if intuitively it looks locally like a normal space. More precisely, a locally normal space satisfies the property...

their cooperative efforts. However, upon Species 8472's retreat from normal space, the Borg terminate the alliance in favor of (unsuccessfully) assimilating...

differs depending on the space in which the normal map was encoded. A straightforward implementation encodes normals in object space so that the red, green...

of a normal topological space can be extended to the entire space, preserving boundedness if necessary. If X {\displaystyle X} is a normal space and f...

or Normal Hausdorff. A normal space is Hausdorff if and only if it is T1. Normal Hausdorff spaces are always Tychonoff. Completely normal. A space is...

cannot accelerate to the speed of light within normal spacetime; instead, the Alcubierre drive shifts space around an object so that the object would arrive...

with objects in "normal space". The general concept of warp drive was introduced by John W. Campbell in his 1957 novel Islands of Space.: 77  Brave New...

{\displaystyle n} is then called the normal space to S {\displaystyle S} at p {\displaystyle p} . Just as the total space of the tangent bundle to a manifold...

In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H is a continuous linear operator N : H → H that commutes...

function. A perfectly normal Hausdorff space must also be completely normal Hausdorff. The Tietze extension theorem: In a normal space, every continuous real-valued...

vector in the tangent space to M at a point of N, it can be decomposed into the component tangent to N and the component normal to N. More formally, let...

projectivized normal space at P {\displaystyle P} . Because P {\displaystyle P} is a point, the normal space is the same as the tangent space, so the exceptional...

normal spaces, now solved in the affirmative. The conjectures, formulated by Kiiti Morita in 1976, asked If X × Y {\displaystyle X\times Y} is normal...

In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...

Hausdorff space is a normal space and, by the Urysohn metrization theorem, second-countable then implies metrizable. Conversely, a compact metric space is second-countable...

dimension of a normal space is less than or equal to the large inductive dimension. The covering dimension of a paracompact Hausdorff space X {\displaystyle...

personal space by age twelve. Under circumstances where normal space requirements cannot be met, such as in public transit or elevators, personal space requirements...

metrizable spaces are normal, all metric spaces are Moore spaces. Moore spaces are a lot like regular spaces and different from normal spaces in the sense...

Gamma Quadrant, and discover that it is inhabited by beings not bound by normal space and time. To the strongly religious people of Bajor, the wormhole aliens...