Algebraic topology

This book is based on notes for a master's course given at Queen Mary, University of London, in the 1998/9 session.

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry.

In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold.

This lecture notes volume presents significant contributions from the "e;Algebraic Geometry and Number Theory"e; Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.

Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces.

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings.

This book is based on the full year Ph.

This book makes a systematic study of the relations between the etale cohomology of a scheme and the orderings of its residue fields.

This book is about modern algebraic geometry.

This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry.

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article.

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.

This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

22.

Knot theory is a rapidly developing field of research with many applications not only for mathematics.

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.

Since the birth of rational homotopy theory, the possibility of extending the Quillen approach -  in terms of Lie algebras - to a more general category of spaces, including the non-simply connected case, has been a challenge for the algebraic topologist community.

This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Le cycles of the hypersurface.

Jürgen Beetz führt zuerst in den Ursprung der erdachten Geschichten der Mathematik aus der Steinzeit ein.

Jürgen Beetz führt zuerst in den Ursprung der erdachten Geschichten der Mathematik aus der Steinzeit ein.

How is a subway map different from other maps?

How is a subway map different from other maps?

Este libro ha sido disenado como una guia para un curso introductorio de Procesos Estocasticos, dirigido especialmente a estudiantes de Matematicas, Estadistica e Ingenieria.

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects.

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects.

LinKnot - Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics.

An der Universität hörte ich erstmals davon, dass abstrakte mathematische Konzepte unsere Naturgesetze beschreiben, wie etwa das Standardmodell der Teilchenphysik.