Algebraic Topology: A Structural Introduction
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A01=Marco Grandis
Algebraic Topology
Author_Marco Grandis
Category=PBF
Category=PBMW
Category=PBP
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Homology Theories
Homotopy Groups
Singular Homology
Product details
- ISBN 9789819814053
- Publication Date: 09 Feb 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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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. The 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.
