Algebraic TopologyA Structural Introduction: A Structural Introduction

China Internet Development Report 2018: Blue Book of World Internet Conference 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.\n\nThe main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological Algebra, Homotopy Theory and Category Theory which occur in its foundation.This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with a moderate amount of prerequisites � basic general topology and little else � and a moderate progression starting from a very elementary beginning. A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions.It can be used as a textbook for a semester course or self-study, and a guidebook for further study.Algebraic Topology: A Structural Introduction: A Structural Introduction is written by Marco Grandis and published by World Scientific. ISBNs for Algebraic Topology: A Structural Introduction are 9789811248375, 9811248370 and the print ISBNs are 9789811248351, 9811248354.