This book provides an accessible introduction to algebraic topology, a 铿乪ld at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen ...
IF Putnam - Operator Algebras & Applications: the Abel Symposium 被引量: 0发表: 2016年 Homology theory: An introduction to algebraic topology This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the ...
Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 ill... (展开全部) 原文摘录 ··· 美是首要试金石,丑陋的数学不可能...
Suppose (X, ℬ,μ) is a probability space. Afinite partitionPofXis a finite collection of disjoint (modμ, i.e., up to sets of measure 0) measurable sets {P1,...
For the cohomology of algebraic coherent sheaves and their applications: see Hartshorne [37]. An elementary proof of the Riemann–Roch theoremfor curves is given in W. Ful- ton, Algebraic curves. An introduction to algebraic geometry, W.A. Benjamin, Inc., New York–Amsterdam, 1969. This boo...
We introduce the notion of equivariant basic cohomology of singularRiemannian foliations, and prove some elementary properties such as itsinvariance under homotopies. For the particular case of singular Killingfoliations we prove that, modulo torsion, this invariant localizes to the setof closed leaves...
Bandler W. and Kohout LJ. (1980b). Fuzzy relational products as a tool for analysis and synthesis of the behaviour of complex natural and artificial systems,Fuzzy Sets: Theory and Applications to Policy Analysis and Information Systems(Wang P.P. and Chang S.K., eds.), Plenum Publ., 341...
Approaches the topic nearly “from scratch” and accompanies students through its natural development Provides examples and step-by-step instructions and explains problem-solving techniques for a better grasp of the topic Integrates various concepts of algebraic topology, examples, exercises, applications,...
Y. A. Bahturin, Basic structures of modern algebra, Mathematics and its Applications, vol. 265, Kluwer Academic Publishers Group, Dordrecht, 1993.Basic structures of modern algebra - Bahturin - 1993Yu. Bahturin, Basic Structures of Modern Algebra, Kluwer, 1993....
… its intended audience is second or third year graduate students in algebra, algebraic topology, or other fields that use homological algebra. … the author’s style is both readable and entertaining … . All in all, this book is a very welcome addition to the literature.” (T.W....