mathematics, a normal space is a topological space in which any two disjoint closed sets have disjoint open neighborhoods. Such spaces need not be Hausdorff...

sides (e.g., interior or exterior). In three-dimensional space, a surface normal, or simply normal, to a surface at point P is a vector perpendicular to...

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...

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...

addition to a normal space, gives extraneous space in the output. U+202F   NARROW NO-BREAK SPACE (NNBSP) is another non-breaking space, but with a smaller...

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

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...

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...

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...

the following: Every normal space is pseudonormal. Every pseudonormal space is regular. An example of a pseudonormal Moore space that is not metrizable...

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...

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...

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

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...

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...

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...

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...

refinements are used in the definition of fully normal space and in one definition of uniform space. It is also useful for stating a characterization...

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

regarded as a space satisfying a different kind of separation axiom. In fact normal Gδ spaces are referred to as perfectly normal spaces, and satisfy the...

of Hassler Whitney), it has a normal bundle. The embedding is not unique, but for high dimension of the Euclidean space it is unique up to isotopy, thus...

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...

{\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...

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...

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...

{\displaystyle \mathbb {S} } is not normal. Thus it serves as a counterexample to the notion that the product of normal spaces is normal; in fact, it shows that even...