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searching for Duality (order theory) 25 found (123 total)

alternate case: duality (order theory)

Stone duality (2,289 words) [view diff] no match in snippet view article find links to article

duality and explains a very general instance thereof in detail. Probably the most general duality that is classically referred to as "Stone duality"
Opposite category (577 words) [view diff] no match in snippet view article find links to article
order of ≤, and is mostly denoted by ≥. Therefore, duality plays an important role in order theory and every purely order theoretic concept has a dual
Algebraic logic (2,210 words) [view diff] no match in snippet view article find links to article
problems like representation and duality. Well known results like the representation theorem for Boolean algebras and Stone duality fall under the umbrella of
List of general topology topics (393 words) [view diff] no match in snippet view article find links to article
space Hausdorff distance Intrinsic metric Category of metric spaces Stone duality Stone's representation theorem for Boolean algebras Specialization (pre)order
Michael Saks (mathematician) (814 words) [view diff] no match in snippet view article
Institute of Technology in 1980 after completing his dissertation titled Duality Properties of Finite Set Systems under his advisor Daniel J. Kleitman.
Introduction to Lattices and Order (816 words) [view diff] no match in snippet view article find links to article
Introduction to Lattices and Order is a mathematical textbook on order theory by Brian A. Davey and Hilary Priestley. It was published by the Cambridge
Scott continuity (751 words) [view diff] no match in snippet view article find links to article
Bauer, Andrej & Taylor, Paul (2009). "The Dedekind Reals in Abstract Stone Duality". Mathematical Structures in Computer Science. 19 (4): 757–838. CiteSeerX 10
Field of sets (3,623 words) [view diff] no match in snippet view article find links to article
complexes of the Stone representation. The area of mathematics known as Stone duality is founded on the fact that the Stone representation of a Boolean algebra
List of theorems (5,993 words) [view diff] no match in snippet view article find links to article
(commutative algebra) Artin–Schreier theorem (real closed fields) Artin–Verdier duality theorem (number theory) Artin–Wedderburn theorem (abstract algebra) Artin–Zorn
Normal cone (functional analysis) (2,062 words) [view diff] no match in snippet view article
In mathematics, specifically in order theory and functional analysis, if C {\displaystyle C} is a cone at the origin in a topological vector space X {\displaystyle
Distributive property (2,905 words) [view diff] no match in snippet view article find links to article
(b\Rightarrow c).} These two tautologies are a direct consequence of the duality in De Morgan's laws. Distributivity of Binary Operations from Mathonline
Boolean algebras canonically defined (8,227 words) [view diff] no match in snippet view article find links to article
first-order theory is decidable only in special cases, all finite Boolean algebras share the same theorems and have a decidable first-order theory. Instead
Abelian group (5,154 words) [view diff] no match in snippet view article find links to article
Grothendieck group – Abelian group extending a commutative monoid Pontryagin duality – Duality for locally compact abelian groups Jacobson (2009) p. 41 Ramík, J
Finite geometry (2,825 words) [view diff] no match in snippet view article find links to article
points and lines have been interchanged. This suggests the principle of duality for projective plane geometries, meaning that any true statement valid
Olivia Caramello (924 words) [view diff] no match in snippet view article find links to article
is based on the duality of sites and Grothendieck toposes, and on the notion of classifying topos of a geometric first-order theory, exploiting the diversity
Currying (4,968 words) [view diff] no match in snippet view article find links to article
In algebraic topology, currying serves as an example of Eckmann–Hilton duality, and, as such, plays an important role in a variety of different settings
Ring of modular forms (1,061 words) [view diff] no match in snippet view article find links to article
ISSN 1029-8479. S2CID 119225134. Ritz, Adam (2006). "Central charges, S-duality and massive vacua of N = 1* super Yang-Mills". Physics Letters B. 641 (3–4):
Geometry (9,862 words) [view diff] no match in snippet view article find links to article
Riemannian geometry. A different type of symmetry is the principle of duality in projective geometry, among other fields. This meta-phenomenon can roughly
Filter (set theory) (22,950 words) [view diff] no match in snippet view article
one intuitive example being the neighborhood filter. Filters appear in order theory, model theory, and set theory, but can also be found in topology, from
Alfred Tarski (5,749 words) [view diff] no match in snippet view article find links to article
his first-order theory of the real numbers. In 1929 he showed that much of Euclidean solid geometry could be recast as a second-order theory whose individuals
De Broglie–Bohm theory (16,410 words) [view diff] no match in snippet view article find links to article
|ψ|2). The double-slit experiment is an illustration of wave–particle duality. In it, a beam of particles (such as electrons) travels through a barrier
Geometric group theory (4,304 words) [view diff] no match in snippet view article find links to article
"An Analogue of the Torus Decomposition Theorem for Certain Poincaré Duality Groups". Proceedings of the London Mathematical Society. s3-60 (3): 503–529
Glossary of areas of mathematics (7,687 words) [view diff] no match in snippet view article find links to article
theory a new branch of mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. Universal algebra
Algebraic geometry (7,374 words) [view diff] no match in snippet view article find links to article
antiequivalent to the category of commutative unital rings, extending the duality between the category of affine algebraic varieties over a field k, and
Facet theory (6,946 words) [view diff] no match in snippet view article find links to article
the POSAC configuration, thereby highlighting concept/measurement space duality. Concerned with the entire cycle of multivariate research – concept definition