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- In the [[Mathematics|mathematical]] field of [[functional analysis]], the space '''bs''' consists of all infinite [[Sequence (mathematics)|sequences]] (''x ...ite. The set of such sequences forms a [[normed space]] with the [[vector space]] operations defined [[Componentwise operation|componentwise]], and the nor ...2 KB (273 words) - 03:11, 7 February 2025
- {{short description|Ordered topological space with special properties}} ...s]], a '''Priestley space''' is an [[partial order|ordered]] [[topological space]] with special properties. Priestley spaces are named after [[Hilary Priest ...10 KB (1,366 words) - 03:40, 19 December 2020
- ...of a [[ring (mathematics)|ring]] ''R'' is a subspace of the [[classifying space]] <math>BGL(R)</math> given by ...rvnb|Weibel|2013|loc=Ch. IV. Example 1.3.2.}}</ref> The space is [[acyclic space|acyclic]] and the [[fundamental group]] <math>\pi_1 X</math> is the [[Stein ...3 KB (358 words) - 01:19, 17 July 2024
- ...l vector space]] (TVS) <math>X</math> is '''''B''-complete''' or a '''Ptak space''' if every subspace <math>Q \subseteq X^{\prime}</math> is closed in the w ...ally convex topological vector space|locally convex]] [[topological vector space]] (TVS). ...4 KB (719 words) - 04:52, 18 October 2021
- ...urwitz spaces''' are [[Moduli space|moduli spaces]] of ramified [[Covering space|covers]] of the [[projective line]], and they are related to the [[moduli o A motivation for constructing a moduli space of <math>G</math>-covers (i.e., geometrically connected Galois covers of <m ...17 KB (2,752 words) - 14:08, 13 November 2024
- In [[mathematics]], a '''universal space''' is a certain [[metric space]] that contains all metric spaces whose [[dimension]] is bounded by some fi ...overing and Imbedding Theorems §3 Imbedding of a compact ''n''-dimensional space in ''I''<sub>2n+1</sub>: Theorem V.2 |chapter-url=https://books.google.com/ ...6 KB (928 words) - 03:22, 3 January 2023
- {{short description|Geometric space with seven dimensions}} ...on of distance. Seven-dimensional [[Euclidean space]] is seven-dimensional space equipped with a [[Euclidean metric]], which is defined by the [[dot product ...5 KB (731 words) - 01:42, 11 December 2024
- ...{em|non-topological convergences}}, that do not arise from any topological space.{{sfn|Dolecki|Mynard|2016|pp=55-77}} An example of convergence that is in g ...lthough it is contained in the exponential category of [[pseudotopological space]]s, which is itself a [[subcategory]] of the (also exponential) category of ...16 KB (2,550 words) - 23:44, 6 November 2024
- In [[mathematics]], '''perfectoid spaces''' are [[adic space]]s of special kind, which occur in the study of problems of "[[mixed charac ...oid field''' is a complete [[topological field]] ''K'' whose [[topological space|topology]] is induced by a nondiscrete [[Valuation (algebra)|valuation]] of ...5 KB (752 words) - 01:16, 30 March 2023
- ...-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 ...3 KB (530 words) - 00:46, 17 January 2025
- {{short description|Mathematical space used to study hyperbolic geometry}} ...Ungar for studying [[hyperbolic geometry]] in analogy to the way [[vector space]]s are used in [[Euclidean geometry]].<ref name=anhyp>Abraham A. Ungar (200 ...30 KB (4,543 words) - 20:29, 21 November 2024
- {{Short description|Totally disconnected topological space}} In [[mathematics]], '''Erdős space''' is a [[topological space]] named after [[Paul Erdős]], who described it in 1940.<ref name="erdos">{{ ...2 KB (370 words) - 20:20, 15 April 2024
- {{short description|Geometric space with eight dimensions}} ...on of distance. Eight-dimensional [[Euclidean space]] is eight-dimensional space equipped with the [[Euclidean metric]]. ...7 KB (997 words) - 07:36, 10 October 2024
- In mathematics, a '''Loeb space''' is a type of [[measure space]] introduced by {{harvs|txt|authorlink=Peter Loeb|last=Loeb|year=1975}} usi ...3 KB (398 words) - 04:33, 3 December 2024
- {{Short description|Type of function space}} ...</sup> spaces]]. Like the ''L''<sup>''p''</sup> spaces, they are [[Banach space]]s. The spaces are named for [[Władysław Orlicz]], who was the first to def ...12 KB (1,956 words) - 15:33, 25 February 2025
- ...property that is shared by locally convex [[metrizable topological vector space]]s. They play a considerable part in the theory of topological tensor produ ...^{\prime}_b</math> (where <math>X^{\prime}_b</math> is the continuous dual space of <math>X</math> endowed with the strong dual topology).{{sfn|Schaefer|Wol ...7 KB (1,012 words) - 05:28, 14 August 2024
- '''Space tethers''' are long cables which can be used for propulsion, momentum excha ...cite journal|last=Bilen|first=Sven|author2=AIAA Technical Committee |title=Space Tethers|journal=Aerospace America|date=December 2007|pages=89}}</ref> ...40 KB (5,752 words) - 19:08, 30 January 2025
- ...c number|''p''-adic field]]), refining Tate's notion of a [[rigid analytic space]]. ...mplex]] case, [[algebraic geometry]] begins by defining the complex affine space to be <math>\Complex^n.</math> For each <math>U\subset\Complex^n,</math> we ...10 KB (1,572 words) - 09:56, 7 November 2023
- ...Grothendieck space is a Banach space for which a [[sequence]] in its dual space converges weak-* if and only if it converges weakly. Let <math>X</math> be a Banach space. Then the following conditions are equivalent: ...3 KB (486 words) - 02:20, 16 July 2023
- .... They are named after E. G. Pytkeev, who proved in 1983 that [[sequential space]]s have this property.<ref>{{citation ...th> \pi </math>-net of infinite subsets of ''A''. A ''Pytkeev space'' is a space in which every point is a Pytkeev point.<ref name="TAIA">{{cite journal|las ...3 KB (365 words) - 20:57, 28 January 2023
Page text matches
- ...size of the output). The computation is generally done by means of a [[log-space transducer]]. == Log-space reductions == ...1 KB (156 words) - 12:33, 20 July 2022
- ...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. ...1 KB (183 words) - 03:50, 20 January 2023
- {{short description|Space formed by the ''n''-tuples of complex numbers}} ...ple]]s of [[complex number]]s, also known as ''[[complex vector]]s''. The space is denoted <math>\Complex^n</math>, and is the ''n''-fold [[Cartesian produ ...2 KB (289 words) - 17:10, 4 September 2024
- ...], more specifically in [[functional analysis]], a '''K-space''' is an [[F-space]] <math>V</math> such that every extension of F-spaces (or twisted sum) of ...l one<ref name="kalton">Kalton, N. J.; Peck, N. T.; Roberts, James W. An F-space sampler. London Mathematical Society Lecture Note Series, 89. Cambridge Uni ...1 KB (176 words) - 00:26, 3 November 2022
- ...Thus, every compact Hausdorff space is H-closed. The notion of an H-closed space has been introduced in 1924 by [[Pavel Alexandrov|P. Alexandroff]] and [[Pa * Every [[regular space|regular]] Hausdorff H-closed space is compact. ...1 KB (172 words) - 12:25, 16 January 2021
- ...[[real line]], the [[Cantor set]] and the [[Baire space (set theory)|Baire space]] are all effective Polish spaces. An effective Polish space is a complete separable metric space ''X'' with metric ''d'' such that there is a countable dense set ''C'' = (' ...1 KB (178 words) - 08:45, 6 March 2024
- {{Short description|On the dimension of vector space duals}} ...compute the exact dimension of any [[Vector space#Function space|function space]]. ...2 KB (304 words) - 07:53, 25 June 2024
- ...en the machine produces the group completion <math>BS \to K(S)</math>. The space <math>K(S)</math> may be described by the [[K-theory spectrum]] of ''S''. equivalence of all infinite loop space machines<ref>[https://www.ams.org/notices/199608/comm-thomason.pdf Charles ...1 KB (176 words) - 15:01, 19 July 2024
- ...ded countable union of [[equicontinuous]] subsets of its [[continuous dual space]] is again equicontinuous. This property is a generalization of [[quasibarrelled space]]s. ...4 KB (487 words) - 00:26, 3 November 2022
- ...motopy Theory - Fiber sequences]</ref> In other words, it is the [[mapping space]] from <math>(I, 0)</math> to <math>(X, *)</math>. ...ref> The maps from <math>I</math> to ''X'' are called free paths. The path space <math>PX</math> is then the pullback of <math>X^I \to X, \, \chi \mapsto \c ...2 KB (265 words) - 19:08, 12 December 2024
- ...'''abstract ''L''-space''', an '''AL-space''', or an '''abstract Lebesgue space''' is a [[Banach lattice]] <math>(X, \| \cdot \|)</math> whose norm is addi In [[probability theory]], it means the [[standard probability space]].<ref>{{citation |title=Stationary Stochastic Processes|author=Takeyuki Hi ...2 KB (309 words) - 00:10, 3 November 2022
- In the [[Mathematics|mathematical]] field of [[functional analysis]], the space '''bs''' consists of all infinite [[Sequence (mathematics)|sequences]] (''x ...ite. The set of such sequences forms a [[normed space]] with the [[vector space]] operations defined [[Componentwise operation|componentwise]], and the nor ...2 KB (273 words) - 03:11, 7 February 2025
- ...ded countable union of [[equicontinuous]] subsets of its [[continuous dual space]] is again equicontinuous. This property is a generalization of [[barrelled space]]s. ...4 KB (561 words) - 00:26, 3 November 2022
- ...on|acts]] trivially on the homotopy and homology of the universal covering space,<!-- what about principal fibration? --> though not all authors include the For example, any [[topological group]] is a simple space (provided it satisfies the condition on the homotopy type). ...1 KB (216 words) - 02:45, 8 March 2024
- ...bert C. ''A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space.'' Proceedings of the National Academy of Sciences of the United States of ...dual]], while not being [[reflexive space|reflexive]]. Furthermore, James' space has a [[Schauder basis|basis]], while having no [[Schauder basis#Unconditio ...3 KB (387 words) - 05:00, 24 April 2024
- {{Short description|Mathematical space}} ...specially in [[real algebraic geometry]], a '''semialgebraic space''' is a space which is locally isomorphic to a [[semialgebraic set]]. ...1 KB (176 words) - 08:37, 8 May 2023
- ...c topology]], a '''Poincaré space''' is an ''n''-dimensional [[topological space]] with a distinguished element ''μ'' of its ''n''th [[homology group]] such | title=Poincaré space ...2 KB (224 words) - 00:04, 19 May 2024
- {{Short description|Space of bounded sequences}} ...[[functional analysis]], the space denoted by '''''c''''' is the [[vector space]] of all [[convergent sequence]]s <math>\left(x_n\right)</math> of [[real n ...2 KB (312 words) - 12:46, 12 March 2024
- [[File:Space cardioid.jpg|thumb|right|230px|A space cardioid introduction at [[Georgia Tech]]]] The '''space cardioid''' is a [[3-dimensional]] [[curve]] derived from the [[cardioid]]. ...832 bytes (105 words) - 01:49, 28 April 2024
- ...he [[Mathematics|mathematical]] field of [[functional analysis]], [[Banach space]]s are among the most important objects of study. In other areas of [[math * The [[Asplund space]]s ...2 KB (351 words) - 00:44, 27 July 2024