Category: Topology

Category: Topology

Category: Topology

The User's Approach to Topological Methods in 3D Dynamical by Maro A. Natiello, Hernán G Solari

By Maro A. Natiello, Hernán G Solari

This booklet offers the improvement and alertness of a few topological tools within the research of information coming from 3D dynamical structures (or similar objects). the purpose is to stress the scope and boundaries of the equipment, what they supply and what they don't supply. Braid idea, the topology of floor homeomorphisms, information research and the reconstruction of phase-space dynamics are completely addressed.

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Category: Topology

Category: Topology

Riemannian Holonomy Groups and Calibrated Geometry by Dominic D. Joyce

By Dominic D. Joyce

This graduate point textual content covers a thrilling and energetic region of analysis on the crossroads of numerous diversified fields in arithmetic and physics. In arithmetic it includes Differential Geometry, advanced Algebraic Geometry, Symplectic Geometry, and in physics String conception and reflect Symmetry. Drawing broadly at the author's past paintings, the textual content explains the complex arithmetic concerned easily and obviously to either mathematicians and physicists. beginning with the fundamental geometry of connections, curvature, complicated and Kähler buildings appropriate for starting graduate scholars, the textual content covers seminal effects reminiscent of Yau's evidence of the Calabi Conjecture, and takes the reader the entire solution to the frontiers of present study in calibrated geometry, giving many open difficulties.

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Category: Topology

Topologie by Professor Dr. Erich Ossa (auth.)

By Professor Dr. Erich Ossa (auth.)

Inhalt
Einf?hrung - Allgemeine Topologie - Die Fundamentalgruppe - Lie-Gruppen und homogene R?ume - Homologie - Produkte - Mannigfaltigkeiten und Faserb?ndel

Zielgruppe
1. Studenten der Mathematik ab dem five. Semester; 2. Mathematiker

?ber den Autor/Hrsg
Professor Dr. Erich Ossa lehrt Mathematik an der Bergischen Universit?t - Gesamthochschule Wuppertal.

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Category: Topology

Category: Topology

Category: Topology

Complements of discriminants of smooth maps: topology and by V. A. Vassiliev

By V. A. Vassiliev

This ebook reports a wide category of topological areas, a lot of which play an immense function in differential and homotopy topology, algebraic geometry, and disaster thought. those contain areas of Morse and generalized Morse services, iterated loop areas of spheres, areas of braid teams, and areas of knots and hyperlinks. Vassiliev develops a normal technique for the topological research of such areas. one of many imperative effects here's a method of knot invariants extra strong than all recognized polynomial knot invariants. furthermore, a deep relation among topology and complexity concept is used to acquire the simplest identified estimate for the numbers of branchings of algorithms for fixing polynomial equations. during this revision, Vassiliev has extra a piece at the fundamentals of the idea and category of adorns, info on functions of the topology of configuration areas to interpolation idea, and a precis of contemporary effects approximately finite-order knot invariants. experts in differential and homotopy topology and in complexity concept, in addition to physicists who paintings with string concept and Feynman diagrams, will locate this publication an updated reference in this intriguing quarter of arithmetic.

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Category: Topology

An Introduction to Differential Manifolds by Jacques Lafontaine

By Jacques Lafontaine

This ebook is an creation to differential manifolds. It provides sturdy preliminaries for extra complex subject matters: Riemannian manifolds, differential topology, Lie thought. It presupposes little historical past: the reader is simply anticipated to grasp simple differential calculus, and a bit point-set topology. The e-book covers the most subject matters of differential geometry: manifolds, tangent area, vector fields, differential varieties, Lie teams, and some extra subtle issues resembling de Rham cohomology, measure idea and the Gauss-Bonnet theorem for surfaces.

Its ambition is to offer strong foundations. particularly, the advent of “abstract” notions comparable to manifolds or differential types is prompted through questions and examples from arithmetic or theoretical physics. greater than a hundred and fifty routines, a few of them effortless and classical, a few others extra refined, might help the newbie in addition to the extra specialist reader. options are supplied for many of them.

The ebook will be of curiosity to varied readers: undergraduate and graduate scholars for a primary touch to differential manifolds, mathematicians from different fields and physicists who desire to gather a few feeling approximately this pretty theory.

The unique French textual content creation aux variétés différentielles has been a best-seller in its type in France for lots of years.

Jacques Lafontaine was once successively assistant Professor at Paris Diderot college and Professor on the collage of Montpellier, the place he's almost immediately emeritus. His major learn pursuits are Riemannian and pseudo-Riemannian geometry, together with a few features of mathematical relativity. along with his own learn articles, he was once interested in numerous textbooks and examine monographs.

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