Algebraic Topology: A Structural Introduction Grandis Marco
Algebraic Topology: A Structural Introduction Grandis Marco Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts…
Specifikacia Algebraic Topology: A Structural Introduction Grandis Marco
Algebraic Topology: A Structural Introduction Grandis Marco
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. 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. The main subject of this book is singular homology, the simplest of these translations.
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 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.