Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved.
This book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail.
This book is an attempt to give a systematic presentation of results and meth- ods which concern the fixed point theory of multivalued mappings and some of its applications.
Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.
Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties.
The NATO Advanced Study Institute on "e;The Arithmetic and Geometry of Algebraic Cycles"e; was held at the Banff Centre for Conferences in Banff (Al- berta, Canada) from June 7 until June 19, 1998.
This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus.
A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawara's homotopy characterization of H-spaces and loop spaces.
Introduction In the last few years a few monographs dedicated to the theory of topolog- ical rings have appeared [Warn27], [Warn26], [Wies 19], [Wies 20], [ArnGM].
A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied.
The NATO Advanced Study Institute "e;Axiomatic, enriched and rna- tivic homotopy theory"e; took place at the Isaac Newton Institute of Mathematical Sciences, Cambridge, England during 9-20 September 2002.
This thesis deals with specific featuresof the theory of holomorphic dynamics in dimension 2 and then sets out to studyanalogous questions in higher dimensions, e.
These proceedings contain the contributions of some of the participants in the "e;intensive research period"e; held at the De Giorgi Research Center in Pisa, during the period May-June 2010.
Nato dall'esperienza dell'autore nell'insegnamento della topologia agli studenti del corso di Laurea in Matematica, questo libro contiene le nozioni fondamentali di topologia generale ed una introduzione alla topologia algebrica.
Nato dall’esperienza dell’autore nell’insegnamento della topologia agli studenti del corso di Laurea in Matematica, questo libro contiene le nozioni fondamentali di topologia generale ed una introduzione alla topologia algebrica.
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications.
Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements.
An der Universität hörte ich erstmals davon, dass abstrakte mathematische Konzepte unsere Naturgesetze beschreiben, wie etwa das Standardmodell der Teilchenphysik.
The articles in this volume are devoted to:- moduli of coherent sheaves;- principal bundles and sheaves and their moduli;- new insights into Geometric Invariant Theory;- stacks of shtukas and their compactifications;- algebraic cycles vs.
La théorie classique des suites de Sturm fournit un algorithme pour déterminer le nombre de racines d’un polynôme à coefficients réels contenues dans un intervalle donné.
This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume.
The articles in this volume study various cohomological aspects of algebraic varieties:- characteristic classes of singular varieties;- geometry of flag varieties;- cohomological computations for homogeneous spaces;- K-theory of algebraic varieties;- quantum cohomology and Gromov-Witten theory.
