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...

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...

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

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...

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...

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...

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...

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...

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

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...

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

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

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...

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

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

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...

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...

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...

{\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 linear algebra, a Jordan normal form, also known as a Jordan canonical form, is an upper triangular matrix of a particular form called a Jordan matrix...

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...

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...

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...

that every second-countable normal Hausdorff space is metrizable.) The converse does not hold: there exist metric spaces that are not second countable...

topological space. It is a completely regular Hausdorff space (that is, a Tychonoff space) that is not normal. It is an example of a Moore space that is not...

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...