Topology

This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces.

This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences.

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H.

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra.

Aus den Besprechungen: "Der nunmehr vorliegende zweite Band der Funktionentheorie erfüllt voll die Erwartungen, die der erste Band geweckt hat.

This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives.

This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra.

This book gives a complete proof of the Verlinde formula and of its connection to generalized theta functions.

This book delves into the intricate world of fixed point theory, focusing on the Krasnoselskii-Mann method to tackle common fixed point problems within a finite family of quasi-nonexpansive mappings in hyperbolic metric spaces.

This textbook provides a succinct introduction to algebraic topology.

Anomalies are ubiquitous features in quantum field theories.

Coverage includes foundational material as well as current research, authored by top specialists within their fields.

The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann-Roch-Grothendieck for proper submersions.

The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology.

This anthology aims to present the fundamental philosophical issues and tools required by the reflection within and upon geography and Geographic Information Systems (GIS) .

This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications.

Dieser zweite Band Analysis, der nunmehr in vierter, überarbeiteter Auflage vorliegt, behandelt die Differential- und Integralrechnung im Rⁿ sowie Differentialgleichungen und Elemente der Funktionentheorie.

From the reviews of the first edition: "e;.

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic.

This collection of peer-reviewed workshop papers provides comprehensive coverage of cutting-edge research into topological approaches to data analysis and visualization.

Combining theoretical and practical aspects of topology, this book provides a comprehensive and self-contained introduction to topological methods for the analysis and visualization of scientific data.

This manuscript is devoted to classifying the isomorphism classes of the virtually cyclic subgroups of the braid groups of the 2-sphere.

This book is dedicated to the structure and combinatorics of classical Hopf algebras.

This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors.

From the reviews: "e;This volume.

This volume records the lectures given at a conference to celebrate Professor Ioan James'' 60th birthday.

A collection of research papers, both new and expository, based on the interests of Professor J.

The subject of geometry has become an important ingredient in condensed matter physics.

Shape and Shape Theory D.

An authoritative introduction to the essential features of etale cohomologyA.

This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author.

From the reviews: "e;.

This book consists essentially of notes which were written for an Advanced Course on Classifying Spaces and Cohomology of Groups.

Manifolds are everywhere.

This book presents some of the basic topological ideas used in studying differentiable manifolds and maps.