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- A planar algebraic curve of degree-n is defined as: ...15 KB (2,722 words) - 17:10, 13 April 2016
- The following is a contributed topic on functorial algebraic geometry and physics: ...ath.jussieu.fr/~leila/grothendieckcircle/FuncAlg.pdf "Functorial Algebraic Geometry: An Introduction" -by Alexander Grothendieck] ...7 KB (1,066 words) - 12:37, 6 May 2023
- ==Index of Algebraic Geometry== ...hand, there are also close ties between [[../CoIntersections/|algebraic]] geometry and number theory. ...13 KB (1,553 words) - 12:37, 6 May 2023
- This is a new topic in which the [[../IsomorphismClass/|Anabelian Geometry]] approach will be defined and compared with other appoaches that are disti ...m geometry]] and [[../TriangulationMethodsForQuantizedSpacetimes2/|Quantum Algebraic Topology]]. ...6 KB (711 words) - 12:39, 6 May 2023
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- ==An Overview of Algebraic Topology topics== ...for topological spaces. A central problem in algebraic topology is to find algebraic invariants of topological spaces, which is usually carried out by means ...3 KB (274 words) - 12:39, 6 May 2023
- This is a new topic in which the [[../IsomorphismClass/|Anabelian Geometry]] approach will be defined and compared with other appoaches that are disti ...m geometry]] and [[../TriangulationMethodsForQuantizedSpacetimes2/|Quantum Algebraic Topology]]. ...3 KB (383 words) - 15:47, 12 September 2020
- ...[[../AbelianCategory3/|noncommutative]] [[../CoIntersections/|algebraic]] geometry #Grothendieck's `[[../IsomorphismClass/|Anabelian Geometry]]' #Other homology theories--Your new additions ...2 KB (293 words) - 16:14, 12 September 2020
- ...geometry]]'' and [[../TriangulationMethodsForQuantizedSpacetimes2/|Quantum Algebraic Topology]]. ==Anabelian Geometry== ...5 KB (697 words) - 04:42, 12 September 2020
- This is a new topic in which the [[../IsomorphismClass/|Anabelian Geometry]] approach will be defined and compared with other appoaches that are disti ...m geometry]] and [[../TriangulationMethodsForQuantizedSpacetimes2/|Quantum Algebraic Topology]]. ...6 KB (711 words) - 12:39, 6 May 2023
- ===Non-commutative Geometry and Non-Abelian Algebraic Topology=== ...commutative]] 'spaces' (in fact ''non-commutative'' [[../TrivialGroupoid/|algebraic structures]], or algebras of [[../Bijective/|functions]]). ...3 KB (399 words) - 15:46, 12 September 2020
- ==Non--Abelian algebraic topology== ...[[../CoIntersections/|algebraic]] treatments of topological invariants in Algebraic Topology. ...3 KB (347 words) - 15:46, 12 September 2020
- ==Algebraic topology topics== ...oduleAlgebraic/|algebraic topology]]'' (AT) utilizes [[../CoIntersections/|algebraic]] approaches to solve [[../CoIntersections/|topological]] problems, ...10 KB (1,003 words) - 12:39, 6 May 2023
- The following is a contributed topic on functorial algebraic geometry and physics: ...ath.jussieu.fr/~leila/grothendieckcircle/FuncAlg.pdf "Functorial Algebraic Geometry: An Introduction" -by Alexander Grothendieck] ...7 KB (1,066 words) - 12:37, 6 May 2023
- ==Quantized Riemannian Manifolds and Geometry== ...olves defining a ''[[../Nonabelian Algebraic Topology 3|quantum Riemannian geometry]]''<ref name='AL2k5'>{{ cite web ...4 KB (535 words) - 15:53, 12 September 2020
- ...Field Theory]] #[[../TriangulationMethodsForQuantizedSpacetimes2/|Quantum Algebraic Topology]] (QAT) #Quantum Geometry (QNG) and [[../NAQAT2/|non-commutative geometry]] (NCG) applications to [[../SUSY4/|SUSY]] model in physics ...5 KB (444 words) - 14:10, 6 May 2023
- ==Index of Algebraic Geometry== ...hand, there are also close ties between [[../CoIntersections/|algebraic]] geometry and number theory. ...13 KB (1,553 words) - 12:37, 6 May 2023
- ===Category theory concepts in algebraic topology=== ...nCategory3/|non-Abelian categories]] and [[../ModuleAlgebraic/|non-Abelian algebraic topology]] #supplemental axioms for an Abelian category ...7 KB (684 words) - 07:29, 31 October 2023
- ==Algebraic topology== ...for topological spaces. A central problem in algebraic topology is to find algebraic invariants of topological spaces, which is usually carried out by means ...11 KB (1,301 words) - 12:39, 6 May 2023
- I. C. Baianu , James F. Glazebrook, and Ronald Brown. 2009. Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Fiel [http://www.emis.de/journals/SIGMA/2009/051/ Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)] ...1 KB (119 words) - 15:59, 12 September 2020
- ...of mathematics, with the notable exception of Topology, certain aspects of Geometry and Number theory which experienced recently most remarkable advances. The ...y play, respectively, important roles in [[../CoIntersections/|algebraic]] Geometry and Number Theory. There are two important differences between groupoids an ...10 KB (1,393 words) - 04:57, 12 September 2020
- ...definition is used in 2 dimensions (plane geometry) or 3 dimensions (solid geometry and physics.) The dot product is written with a raised dot between the vec ==Algebraic definition== ...6 KB (1,148 words) - 10:47, 4 June 2023
- #[[../ModuleAlgebraic/|non-Abelian algebraic topology]], including also non-Abelian homological algebra; [http://www.bangor.ac.uk/~mas010/nonab-a-t.html non-Abelian algebraic topology overview] and ...4 KB (530 words) - 15:46, 12 September 2020
- *Axioms of Geometry *Axioms of [[../PAdicMeasure/|algebraic K-theory]] ...7 KB (873 words) - 16:14, 12 September 2020
- ==Non-Abelian Quantum Algebraic Topology (NAQAT)== ...s]] concerned with the applications of [[../CubicalHigherHomotopyGroupoid/|algebraic topology]] methods, results and constructions (including its extensions to ...4 KB (564 words) - 15:46, 12 September 2020