Download A general character theory for partially ordered sets and by K. Keimel, Karl Heinrich Hofmann PDF

By K. Keimel, Karl Heinrich Hofmann

We use characters of lattices (i.e. lattice morphisms into
the aspect lattice 2) and characters of topological areas
(i.e. non-stop services into an correctly topologized
element house 2) to acquire connections and dualities among
various different types of lattices and topological areas. The
objective is to give a unified therapy of assorted recognized
aspects within the relation among lattices and topological areas
and to find, at the manner, a few new ones.

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Additional resources for A general character theory for partially ordered sets and lattices

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2. Partial differential equations of the first order. Homogeneous and nonhomogeneous linear equations, nonlinear equations. Complete, general and singular integrals. Solution of the Cauehy problem . . . . . . . . 3. Linear equations of the seeond order. Classifieation . . . . . . . 4. Elliptie equations. The Laplaee equation, the Poisson equation. The Diriehlet and Neumann problems. Properties of harmonie funetions. The fundamental solution. Green's funetion.

9. Cauchy-Riemann equations. Pluriharmonic functions . . . . . . .. 10. Local properties of holomorphic functions. The Cauchy integral formula. The Taylor expansion . . . . . . . . . . . . . . . . .. 11. On some different properties of functions of one and several complex variables. Analytic continuation. Domain of holomorphy. Biholomorphic mapping . . . . . . . . . . . . . . . . . . . . . . 7. 8. e 277 278 282 283 284 286 21. 1. 2. 3. 4. JAROSLAV FUKA The concept of conformal mapping .

Sparse systems. Cyclie reduetion . . . . . . . . . . . . . . Iterative methods. One-point iteration, the Jacobi and Gauss-Seidel methods, sueeessive overrelaxation. Conjugate gradient method . . . . . Preeonditioned iterative methods. Ineomplete factorization . . . . . Algebraie multigrid method . . . . . . . . . . . . . . . Choiee of the method. Basie software . . . . . . . . . . . . 595 601 603 606 611 615 621 625 626 B. 10. 11.

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