Revision #774 → #1173 · back to history
addedDuality (informal)f127aea95e08
addedDesargues' theorem is self-duala2696776d52d
addedComplement of a subsete6dfd9adb9ee
addedComplement is an involution5a90bbbec388
addedComplement reverses inclusionfd2a280d8089
addedContrapositive containment via complement1da0099551fc
addedOpen–closed duality in topologyd6615e7deefd
addedInterior–closure duality31a185736037
addedDual cone8a92e53a5a1c
addedDouble dual cone contains original7b505b2e26b7
addedDual cone reverses inclusiond6a0b77a6b98
addedDual vector space138d1b7763c0
addedFinite-dimensional double dual isomorphism1e338c2c450c
addedHom adjunction for dual spacesf8c3823a93af
addedRiesz representation in Hilbert spaces22ce3e3bf5cd
addedGalois group of intermediate fielda258ebb90a9d
addedFixed field of subgroupae69379a70a6
addedFundamental theorem of Galois theorya6915ce35307
addedDual posetc353a7308bd7
addedSubset/superset dual order820af226fa8b
addedDivides/multiple-of dual order9d60285426f1
addedDescendant/ancestor dual orderab55d4f80005
addedDuality transform23d9a3e26120
addedComposition of duality transformsc8d6360358c2
addedDual concepts in posetsc21fa35044b1
addedDual matroid7a2d62efad1f
addedDuality of Platonic solids5b8a46c3fd5f
addedDual polyhedron via face centers7ce498dde660
addedPolar reciprocation / dual polytope126d21529364
addedPolytope duality is an involutionf2742356c8e7
addedDual graph of a polyhedronc74183e332ac
addedPlanar graph duality (embeddings)314575539527
addedDelaunay–Voronoi duality8b4b7c16a197
addedMatroid duality extends planar graph duality67920e5b634c
addedLinear program and dual problem52f38b11b2f3
addedLogical dualityd31466d30390
addedDuality of quantifiers4955fa5d9ae4
addedSatisfiability–validity duality7fa5213c43f3
addedDuality of conjunction and disjunction393c49d2ed08
addedDe Morgan's laws5d06f93c846d
addedModal duality of necessity and possibilityfd5b2b9581fb
addedUnion–intersection duality via complement891da940c465
addedDual poset of dual poset is original3583863d81df
addedDouble dual conec939287f4698
addedCanonical evaluation mape0e4d23911f3
addedAlgebraic double dual is injective84569cb4d387
addedTorsionless and reflexive modulesc99aa5ba0ce4
addedTopological dual and reflexive space82427e3d0742
addedPontryagin duality (bidual)9dd1609e3375
addedInternal Hom dual object5423f90d6d5b
addedCanonical map to bidual (category-theoretic)f768f6b0a2a1
addedDual vector space as duality example37081f7de789
addedCharacterization of finite-dimensional vector spaces449373c0224e
addedIsomorphism V ≅ V* iff finite-dimensional0d47cda3cf96
addedInner product space8c3c843a5813
addedRiemannian metricb7997d068819
addedHodge star operatorf6edb20a307c
addedPrinciple of duality in projective planese038c499ab0d
addedTwo points determine a line (dual)00701969d125
addedProjective points/lines via subspacesf51784d5cd92
addedBilinear form identifies projective plane with dual117128ee9e3b
addedReflexive (topological) spacecde64d9c3ef9
addedRiesz representation for Hilbert spacesbb08b742d86a
addedHilbert spaces are reflexive Banach spacesfd8c88560ce5
addedDual of Lp is Lq542b8b430bdd
addedL1 is not reflexive2687056e403f
addedDistributions as linear functionals19bdf3c28642
addedStandard distribution spaces are reflexive0a856b72de5d
addedDual latticee88c7cb7e596
addedPontryagin dual of locally compact groupd4393cb8e2ea
addedContravariant functor duality510316f102fd
addedSelf-dual category5cfe24c08d2d
addedCategory of Hilbert spaces is self-dual18549dc5e0bd
addedProducts and coproducts as dual989581ea61fd
addedLimits dual to colimitseb22b8ff4488
addedAdjoint functorse1c901081235
addedColimit/diagonal adjunctiona601e2e40cbe
addedGelfand duality46e0ecee1991
addedAffine schemes ↔ commutative rings3948b9cd228c
addedTannaka–Krein duality792f32cd2f0d
addedGalois connection0acc28e3b5fe
addedOpen sets form complete Heyting algebra4045140dfa97
addedStone duality7a44fd571ec0
addedBirkhoff's representation theorem661746560d5b
addedCharacter group9c8db6a518d9
addedPontryagin duality theorem27df9079cfeb
addedDiscrete ↔ compact under Pontryagin014f75832cd7
addedFourier transform593ca2502238
addedFourier transform on L202feaaee6454
addedFourier exchanges multiplication and convolution12ba62efe718
addedLaplace transform duality966498445ae9
addedLegendre transformationbb362aa69032
addedPerfect pairing gives dual isomorphism3b5f32aa423f
addedPoincaré duality (complex manifolds)e843d7a3ef9c
addedPoincaré duality via de Rham2782d313e429
addedPoincaré duality reverses dimensionsa662e3d5bb86
addedl-adic Poincaré-style duality3e4f50212fd4
addedVerdier dualityb0d45b080f13
addedSerre / coherent duality2d3c14ac6c9a
addedGalois cohomology pairing over finite fields62044eb34cc0
addedLocal and Poitou–Tate duality3cef7a797322