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Algebraic K-theory
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281	CERF THEORY FOR GRAPHS Allen Hatcher and Karen Vogtmann ABSTRACT. We develop a deformation theory for k-parameter families of pointed marked graphs with fixed fundamental group Fn . Applications include a simple geometri Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1998-12-27 13:43:53 Algebraic topology Geometric topology Fundamental group Homotopy theory Simplex Graph Karen Vogtmann Neighbourhood Triangulation Mathematics Topology Graph theory
282	MP473 Examination, November 2000 Time: 3 hours Answer all questions 1. (a) Explain what is meant by the statements: (i) K is an algebraic number field of degree n, (ii) ω1 , . . . , ωn is an integral basis for K, Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-11-16 18:40:58 Algebraic number theory Constructible universe Ideal class group Euclidean algorithm Field norm Abstract algebra Mathematics Algebra
283	MP473 Examination, November 1998 Time: 3 hours Answer all questions 1. (a) Explain what is meant by the statements: (i) θ is an algebraic integer, (ii) K is an algebraic number field of degree n, (iii) ω1 , . . . , ωn Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-30 20:35:30 Ordinal number Constructible universe Ideal class group Connection Fiber bundles Abstract algebra Algebraic number theory Mathematics
284	HOMOGENEOUS SPACES AND DEGREE 4 DEL PEZZO SURFACES E.V. FLYNN Abstract. It is known that, given a genus 2 curve C : y 2 = f (x), where f (x) is quintic and defined over a field K, of characteristic different from 2, and Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:28 Mathematical analysis Algebra Algebraic number theory Quantum field theory Dyadic cubes Abstract simplicial complex Abstract algebra Genus of a multiplicative sequence Harmonic analysis
285	MP473 EXAM, Semester 2, 1994 (In what follows, OK denotes the ring of integers in an algebraic number field K. Also if θ ∈ K, mθ (x) denotes the minimum polynomial of θ.) 1. Define the terms integral basis of K, DK Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-10 01:19:38 Ideals Field theory Connection Differential geometry Discriminant of an algebraic number field Abstract algebra Algebraic number theory Ideal class group
286	CHAPTER 3 The p-adic upper half plane Samit Dasgupta1 and Jeremy Teitelbaum2 Introduction The p-adic upper half plane X is a rigid analytic variety over a p-adic field K, Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:51:28 Field theory Algebraic geometry Analytic geometry Linear algebra Algebraic topology Valuation Norm Lattice Building Abstract algebra Algebra Mathematics
287	MP473 EXAM, Semester 2, 1996 Attempt all questions 1. (In what follows, OK denotes the ring of integers in an algebraic number field K, [K : Q] = n and θ ∈ K. (a) Define the terms (i) mθ (x), (ii) integral basis of K Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-10 01:23:34 Field theory Algebraic structures Ring theory Algebraic number field Symbol Ring of integers Ideal class group Prime ideal Field Abstract algebra Algebra Algebraic number theory
288	An Introduction to K-theory Eric M. Friedlander∗ Department of Mathematics, Northwestern University, Evanston, USA Lectures given at the School on Algebraic K-theory and its Applications Add to Reading List Source URL: users.ictp.it Language: English - Date: 2008-10-13 08:39:11 Algebraic topology Algebraic geometry Homological algebra K-theory Differential topology Algebraic K-theory Grothendieck group Vector bundle Sheaf Abstract algebra Algebra Topology
289	The Quillen plus-construction in algebraic K-theory Shan Shah 5th January[removed]Contents Add to Reading List Source URL: www.staff.science.uu.nl Language: English - Date: 2012-02-03 19:23:49 Homotopy theory Fundamental group Homotopy group Algebraic K-theory CW complex Homotopy Singular homology Hurewicz theorem Topological K-theory Topology Abstract algebra Algebraic topology
290	K-THEORY OF A WALDHAUSEN CATEGORY AS A SYMMETRIC SPECTRUM MITYA BOYARCHENKO Abstract. If C is a Waldhausen category (i.e., a “category with cofibrations and weak equivalences”), it is known that one can define its K- Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2007-11-04 13:29:42 Mathematics Topology Waldhausen category Cofibration Algebraic K-theory Weak equivalence Simplicial set Q Nerve Abstract algebra Homotopy theory Category theory

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