Lefschetz hyperplane theorem
Lefschetz hyperplane theorem In mathematics, the Lefschetz hyperplane theorem states that a hyperplane section ... this direction were first given by Solomon Lefschetz in the early 1920s. They were subsequently ... classical setting. A modern approach deduces the Lefschetz results from the Andreotti-Frankel theorem, which ... and its long exact sequence, together with Lefschetz duality , can be applied to recover ...
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User:Mathbot/Changes mathlist
... test Removed Simple algebra Removed Stiefel-Whitney class Added Allais paradox Added Autonomous category Added ... Reflective subcategory Added Simple (algebra) Added Stiefel–Whitney class Added String diagram Added Syllogism Added Uniform ... Added Existential proposition Added Minitab Added Residue class-wise affine groups Added Stable homotopy category ... Added H-cobordism Added Hyperplane section Added Lefschetz hyperplane theorem Added LF-space Added Local ... line Oct 28 Added Automated reasoning Added Class number formula Added Current (mathematics) Added ...
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User:Charles Matthews/New - mathematics
... Additions at end. 1-50 Euler product - Class field theory - Iwasawa theory - Rational function - Projective ... topos theory - Simplicial complex - Combinatorial topology - Characteristic class - Isometry - Affine geometry - Erlangen programme - Homogeneous space ... transformation - Chowla-Mordell theorem - Chowla-Selberg formula - Class number problem for imaginary quadratic fields Sato ... Euclidean group - Symmetric algebra - Infinitesimal transformation - Fundamental class - Local classfield theory - modular curve - Artin conjecture ... Lindenbaum-Tarski algebra - Codimension - Universal coefficient theorem - Class function - Dirac measure - special functions - Morava ...
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Category:Algebraic topology
... CW complex Categorification Chain (algebraic topology) Characteristic class Chern class Chern-Simons form Chern-Weil theory Classifying space Cocycle class Cofibration Cohomology Cohomology operation Combinatorial topology Cone ... Equivariant cohomology E cont. Euler characteristic Euler class F Facet (mathematics) Fiber bundle Fibration Formal group law Free product Fundamental class Fundamental group G Genus (mathematics) H ...
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List of algebraic topology topics
... theorem Cohomology List of cohomology theories Cocycle class Cup product Cohomology ring De Rham cohomology ... cohomology Lyusternik-Schnirelmann category Poincaré duality Fundamental class Applications Jordan curve theorem Brouwer fixed point theorem Invariance of domain Lefschetz fixed-point theorem Hairy ball theorem Degree ... theorem De Rham cohomology Obstruction theory Characteristic class Chern class Chern-Simons form Pontryagin class Pontryagin ...
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Glossary of arithmetic and Diophantine geometry
... with elliptic curves over number fields. Geometric class field theory The extension of class field theory-style results on abelian coverings ... at least two is often called geometric class field theory. Good reduction Fundamental to local ... s theorem as a theory of ideal class groups as Galois modules and p-adic ... K, and considered the inverse limit of class groups, finding a p-adic L- ...
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User:Mathbot/Logged misspellings (old2)
... Leipzig Lebesgue covering dimension 625 coindicence coincidence Lefschetz fixed-point theorem 626 triginometric trigonometric Leg ... generation wavelet transform 1056 defintion definition Selberg class 1057 essenital essential Selberg class 1058 ellucidation elucidation Selberg class 1059 thier their Selberg class 1060 Analiticity Analyticity Selberg class 1061 ...
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Topology
... form, was introduced in print by Solomon Lefschetz in 1930 to replace the earlier name ... fonts in modern use, there is a class {a,b,d,e,o,p,q} of letters with one hole, a class {c,f,h,k,l,m,n ... of letters without a hole, and a class {i,j} of letters consisting of two ... pieces. g may either belong in the class with one hole, or be the ...
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Poincaré duality
... to its cap product with a fundamental class of M, which will exist for oriented ... orientation, i.e. which maps the fundamental class of M to the fundamental class of N, then D N = f * D ... respectively. Generalizations and related results The Poincar�-Lefschetz duality theorem is a generalisation for manifolds ... of geometric duality in algebraic topology, including Lefschetz duality , Alexander duality and S-duality ( ...
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Dualidad de Poincaré   (translated from Spanish)
... to its product CAP with one fundamental class of M, that will exist stops M ... are to say that mapea the fundamental class of M to the fundamental class of N, then D N = f * D ... and results theorem of dualidad of Poincaré-Lefschetz it is a generalization for the varieties ... geometric dualidad in topología , including dualidad of Lefschetz, dualidad of Alexander and S-dualidad ( ...
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