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...riants of topological properties|pairwise Hausdorff]], and [[bitopological space#Bitopological variants of topological properties|pairwise zero-dimensional] Pairwise Stone spaces are a bitopological version of the [[Stone space]]s. ...

== Maths and science == * [[Skylab 2]] (SL-2), a NASA space mission ...

Specifically, if <math>(X,d)</math> is a [[metric space]] then an element of <math>B^+(X,d) = X\times\mathbb{R}^{+}</math> is a for ...reiber 1981. "Embedding metric spaces into CPOs". ''Theoretical computer science'', 16:5-24. ...

...-540-38117-4|mr=0365573}}</ref> is a [[pointed space|based]] [[topological space]] ''X'' such that ...-dimensional [[CW complex]] and ''X'' is any pointed space, is a nilpotent space. The odd-dimensional real projective spaces are nilpotent spaces, while the ...

...g space transducer (LST)''' is a type of [[Turing machine]] used for [[log-space reduction]]s. A log space transducer, <math>M</math>, has three tapes: ...

...ther hand, on [[discrete space|discrete]] and other [[totally disconnected space]]s integer-valued functions have roughly the same importance as [[real-valu === Computer science === ...

...2. http://doi.org/10.1016/j.tics.2013.06.007</ref>{{rp|4}} In a conceptual space, ''points'' denote objects, and ''regions'' denote concepts. The theory of ...]] library: studies in epistemology, logic, methodology, and philosophy of science |volume=359 |location=Cham |publisher=[[Springer-Verlag]] |isbn=978-3319150 ...

...f>{{cite web |title=Convex space |url=https://ncatlab.org/nlab/show/convex+space |website=nLab |access-date=3 April 2023}}</ref><ref>{{cite arXiv |last1=Fri A convex space can be defined as a set <math>X</math> equipped with a binary convex combin ...

In [[mathematics]], a '''semitopological group''' is a [[topological space]] with a [[Group action (mathematics)|group action]] that is [[Continuous f A semitopological group <math>G</math> is a topological space that is also a [[Group (mathematics)|group]] such that ...

Let <math>X</math> be a non-empty [[topological space]]. The Choquet game of <math>X</math>, <math>G(X)</math>, is defined as fol ...pace is Baire. On the other hand, there are Baire spaces (even [[Separable space|separable]] [[metrizable]] ones) that are not Choquet spaces, so the conver ...

{{about|the area in computer science|the area in applied mathematics|Structural complexity (applied mathematics) ...nguages and Programming]], 1988 (ICALP 88), ''[[Lecture Notes in Computer Science]]'', vol. 317 (1988), pp. 271-286.</ref> ...

...t3=Bruno |last4=Speelman |first4=Florian |date=2018-01-01 |title=Catalytic Space: Non-determinism and Hierarchy |url=https://link.springer.com/article/10.10 ...se work tape is bounded by s(n) tape cells and whose auxiliary full memory space is bounded by <math>2^{s(n)}</math> tape cells.<ref name=":1" /> It has bee ...

...h>. The notion was introduced in 1973 by Lawvere who noticed that a metric space can be viewed as a particular kind of a category. ...truct the [[Cauchy completion (category theory)|Cauchy completion]] of the space. ...

...[[invariant subspace]]s of a [[linear operator]] on some complex [[Banach space]]. The theorem was proved in 1973 by the Russian–American mathematician [[V ...\mathcal{B}(X,X)</math> be the space of bounded linear operators from some space <math>X</math> to itself. For an operator <math>T\in\mathcal{B}(X)</math> w ...

...ils/modernapproachto00jrkl|url-access=limited|date=2010|publisher=Springer Science & Business Media|isbn=9780817647902|page=[https://archive.org/details/moder In a more general setting, a subset <math>T</math> of a [[topological vector space]] <math>X</math> is a total set or '''fundamental set''' if the [[linear sp ...

...]. This pool could aid in reducing risk in extreme environments, including space and the sub-aquatic. == Space exploration == ...

...ment dominated by a positive element in a [[Riesz space]] with the [[Riesz space#Projection properties|principal projection property]] can in a sense be app Let ''e'' be any positive element in a Riesz space ''E''. A positive element of ''p'' in ''E'' is called a component of ''e'' ...

...se data structures enable quick search for an arbitrary [[String (computer science)|string]] with a comparatively small index. ...ion theory)|k-th order empirical entropy]] of the text ''T''. The time and space to construct a compressed suffix array are normally {{tmath|O(n)}}. ...

The Dudley's entropy integral is defined for a metric space <math>(T, d)</math> equipped with a probability measure <math>\mu</math>. ...R. High-Dimensional Probability: An Introduction with Applications in Data Science. Cambridge University Press; 2018.</ref> ...

...he classical construction of a tangent space such as the [[Zariski tangent space]]. The construction is based on the following observation.<ref>{{harvnb|Har ...epsilon]/(\epsilon)^2) \to F(k)</math> over ''p'' is called the '''tangent space''' to ''F'' at ''p''.<ref>{{harvnb|Eisenbud|Harris|1998|loc=VI.1.3}}</ref> ...