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...atowski's result allows them to be non-compact, but insists that their non-compactness "tends to zero" in an appropriate sense. The theorem is named for the [[Po ... ''X'', its [[measure of non-compactness|'''Kuratowski measure of non-compactness''']] ''α''(''A'') ≥ 0 is defined by ...

...heorem''', named after [[Jon Barwise]], is a generalization of the usual [[compactness theorem]] for [[first-order logic]] to a certain class of [[infinitary lang ...#5 "Infinitary Logic", Section 5, "Sublanguages of L(ω1,ω) and the Barwise Compactness Theorem"] ...

...sby |first2=Robert D. |last2=Popper |year=1991 |title=The Third Criterion: Compactness as a procedural safeguard against partisan gerrymandering |journal=Yale Law ...plete lack of compactness and a score of <math>1</math> indicating maximal compactness.<ref>Miller, William J., and Walling, Jeremy D. [https://books.google.com/b ...

...it as a subspace. This property is a generalization of [[compact spaces|compactness]], since a compact subset of a Hausdorff space is closed. Thus, every compa [[Category:Compactness (mathematics)]] ...

In mathematics, '''Delta-convergence''', or '''Δ-convergence''', is a mode of convergence == Delta-compactness theorem == ...

...o. 1, 90–117.</ref>(Lemma 2.5),<ref name="Solimini">S. Solimini, A note on compactness-type properties with respect to Lorentz norms of bounded subsets of a Sobol ...Bangalore, January 2012, {{ISBN|978-3-0348-0372-4}}, Birkhäuser, Trends in Mathematics (2013), 117–141.</ref> ...

In [[mathematics]], particularly [[functional analysis]], '''James' theorem''', named for [[ {{math theorem|name=James compactness criterion|note=|style=|math_statement= ...

In [[mathematics]], '''flat convergence''' is a notion for convergence of submanifolds of Eu ==Compactness theorem == ...

...s)|moments]], etc. The dimensions of the particles are usually [[Measure (mathematics)|measured]] from two-dimensional [[Cross section (geometry)|cross-sections] ==Compactness shape factor== ...

...preserve some topological properties such as [[locally compact space|local compactness]] that are not always preserved by continuous maps. ...p|closed]], [[Surjective function|surjective]] and such that each [[Fiber (mathematics)|fiber]] <math>p^{-1}(y)</math> is [[Compact space|compact]] relative to <m ...

...he works at [[Claremont McKenna College]], where she is Crown Professor of Mathematics and George R. Roberts Fellow.{{r|cmc}} ...aduating with a bachelor's degree in 1976. She earned a master's degree in mathematics at [[Middle East Technical University]] in 1978, with a thesis ''Subspaces ...

...''', or '''objects of finite presentation''', are objects in a [[category (mathematics)|category]] satisfying a certain finiteness condition. ===Compactness in ∞-categories=== ...

...tics)|fixed points]]) is a [[compact Lie algebra|compact subalgebra]]. If "compactness" is omitted, it is called a '''symmetric Lie algebra'''. An orthogonal symm ...

...&nbsp;=&nbsp;1,&nbsp;2,&nbsp;3,&nbsp;..., which possess a certain type of "compactness" or "tangledness". Many naturally occurring families of graphs are Lévy fa ...'n'' elements, with edges joining points that differ by a [[Transposition (mathematics)|transposition]], then the series ''S''_''i'', ''i=1,2,...'', is ...

In mathematics, more specifically [[general topology]], the '''double origin topology''' i ...t {{nowrap|1=''x'' ≠ 0}} and {{nowrap|1=''x'' ≠ 0*}}, the [[Neighbourhood (mathematics)|neighbourhood]]s of ''x'' are those given by the standard [[Metric_topolog ...

...'''Curtis–Hedlund–Lyndon theorem''' is a mathematical [[Characterization (mathematics)|characterization]] of [[cellular automata]] in terms of their [[symbolic d ...arbitrary unions of fundamental open sets. In this topology, a [[Function (mathematics)|function]] {{mvar|f}} from configurations to configurations is [[continuou ...

In [[mathematics]], the '''bagpipe theorem''' of {{harvs|txt|last=Nyikos|first=Peter|year=19 ...compact. When restricted to a metric space ω-boundedness is equivalent to compactness. ...

In [[real analysis]], a branch of mathematics, '''Cousin's theorem''' states that: ...") there is a circle of finite radius (in modern term, a "[[neighbourhood (mathematics)|neighborhood]]"), then the region can be divided into a finite number of s ...

...t2=V.|author2-link=Vitold Shmulyan|doi=10.2307/1968735|journal=[[Annals of Mathematics]]|mr=2009|pages=556–583|series=Second Series|title=On regularly convex sets ...

In [[numerical mathematics]], the '''gradient discretisation method''' ('''GDM''') is a framework whic ...ion problem|see below]]). For non-linear problems, the proofs are based on compactness techniques and do not require any non-physical strong regularity assumption ...