supercompact

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• Supercompact — In mathematics, the term supercompact may refer to: * In set theory, a supercompact cardinal * In topology, a supercompact space …   Wikipedia

• Supercompact space — In mathematics, in the field of topology, a topological space is called supercompact if there is a subbasis such that every open cover of the topological space from elements of the subbasis has a subcover with at most two subbasis elements.… …   Wikipedia

• Supercompact cardinal — In set theory, a supercompact cardinal a type of large cardinal. They display a variety of reflection properties.Formal definitionIf lambda; is any ordinal, kappa; is lambda; supercompact means that there exists an elementary embedding j from the …   Wikipedia

• supercompact — adjective a) Very compact. b) Having a subbasis such that every open cover of the topological space from elements of the subbasis has a subcover with at most two subbasis elements. Syn: ultracompact …   Wiktionary

• supercompact, e —  adj. Extrêmement compact …   Le dictionnaire des mots absents des autres dictionnaires

• Laver function — In set theory, a Laver function (or Laver diamond, named after its inventor, Richard Laver) is a function connected with supercompact cardinals. DefinitionIf kappa; is a supercompact cardinal, a Laver function is a function fnof; : kappa; rarr; V …   Wikipedia

• Strongly compact cardinal — In mathematical set theory, a strongly compact cardinal is a certain kind of large cardinal number; their existence can neither be proven nor disproven from the standard axioms of set theory.A cardinal kappa; is strongly compact if and only if… …   Wikipedia

• List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

• Compact Software — was the first successful microwave computer aided design (CAD) company. Contents 1 History 2 Notes 3 References 3.1 Articles by Besser …   Wikipedia

• Grand cardinal — En mathématiques, et plus précisément en théorie des ensembles, un grand cardinal est un nombre cardinal transfini satisfaisant une propriété qui le distingue des ensembles constructibles avec l axiomatique usuelle (ZFC) tels que aleph zéro,… …   Wikipédia en Français

• Strong cardinal — In set theory, a strong cardinal is a type of large cardinal. It is a weakening of the notion of a supercompact cardinal. Formal definition If lambda; is any ordinal, kappa; is lambda; strong means that kappa; is a cardinal number and there… …   Wikipedia