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Algebraic definition
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81	A result of Gabber by A.J. de Jong 1 The result Let X be a scheme endowed with an ample invertible sheaf L. See EGA II, Definition[removed]In particular, X is supposed quasi-compact and separated. Add to Reading List Source URL: math.columbia.edu Language: English - Date: 2005-08-09 10:54:32 Sheaf theory Scheme theory Algebraic topology Sheaf Coherent sheaf Proj construction Étale cohomology Stalk Grothendieck topology Abstract algebra Algebraic geometry Algebra
82	SPECTRAL SEQUENCES MATTHEW GREENBERG 1. Introduction Definition 1. Let a ≥ 1. An a-th stage spectral (cohomological) sequence consists of the following data: Add to Reading List Source URL: www.math.mcgill.ca Language: English - Date: 2008-10-03 11:29:58 Spectral sequences Group theory Algebraic topology Functors Grothendieck spectral sequence Derived functor Serre spectral sequence Group cohomology Exact functor Abstract algebra Algebra Homological algebra
83	TOM ARCHIBALD, Simon Fraser University Visual Representation in the Theory of Algebraic Functions and their Integrals in the late 19th Century Riemann’s definition of the “Riemann surface” and his use of this tool Add to Reading List Source URL: cms.math.ca - Date: 2013-10-31 07:38:05
84	SPECTRAL SEQUENCES N. P. STRICKLAND 1. Introduction Definition 1.1. A (multiplicative, first quadrant, cohomologically graded) spectral sequence consists of a sequence of “pages” Er for r ≥ 2. Each page is a bigrad Add to Reading List Source URL: neil-strickland.staff.shef.ac.uk Language: English - Date: 2008-10-14 22:26:02 Algebraic topology Spectral sequences Serre spectral sequence Steenrod algebra Adams spectral sequence Atiyah–Hirzebruch spectral sequence Factorial Grunsky matrix Oscillator semigroup Abstract algebra Mathematics Algebra
85	DEFINITIONS: OPERADS, ALGEBRAS AND MODULES J. P. MAY Let S be a symmetric monoidal category with product ⊗ and unit object κ. Definition 1. An operad C in S consists of objects C (j), j ≥ 0, a unit map η : κ → C Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2002-02-19 11:36:00 Category theory Algebraic structures Operad theory Monoidal categories Algebraic topology Monoid E∞-operad Highly structured ring spectrum Algebra Abstract algebra Mathematics
86	USA Mathematical Talent Search Round 3 Solutions Year 20 — Academic Year 2008–2009 www.usamts.org[removed]Let S be the set of all 10-digit numbers (which by definition may not begin with 0) in which each digit 0 thro Add to Reading List Source URL: www.usamts.org Language: English - Date: 2010-09-20 13:54:57 Number Diophantine equations Algebraic number theory Integer factorization algorithms Mathematics Integer sequences Prime number
87	Cohomology of topological groups with applications to the Weil group M. Flach Abstract We establish various properties of the definition of cohomology of topological groups given by Grothendieck, Artin and Verdier in SGA Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2008-01-28 21:03:09 Homological algebra Algebraic topology Sheaf theory Additive categories Cohomology theories Group cohomology Sheaf Topos Étale cohomology Abstract algebra Category theory Algebra
88	A homogeneous algebraic definition of Euclidean space Vaughan Pratt Computer Science Department Stanford University BLAST 2013 Add to Reading List Source URL: boole.stanford.edu Language: English - Date: 2013-08-06 13:15:54 Linear algebra Space Euclidean geometry Norm Point Euclidean space Homogeneous coordinates Algebraic geometry Mathematics Geometry Algebra
89	Grade 6 Mathematics Planning Guide – SY12-13 The purpose of this Planning Guide is to define the scope of the Common Core State Standards for Mathematics (CCSS-M) Content Standards to be taught in the[removed]school Add to Reading List Source URL: www.cps.edu Language: English - Date: 2012-07-10 12:59:40 Elementary algebra Mathematics education Common Core State Standards Initiative Equation Algebraic definition Expression Algebra Linear equation Differential equation Mathematics Education reform Education
90	A NEW DEFINITION OF MORPHISM ON PETRI NETS A Preliminary Version ~J\A\^^ Add to Reading List Source URL: www.cl.cam.ac.uk Language: English - Date: 2008-11-14 11:49:52 Topology Concurrency Diagrams Petri net Algebraic topology Dual Adjoint functors Category Universal property Mathematics Category theory Abstract algebra

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