Homology (Classics in Mathematics)

Book Details

• Publisher: Springer

• Author: MacLane, Saunders

• Language: English

• Edition: 1995 ed.

• ISBN: 9783540586623

• Pages: 422

• Cover: Paperback

• Dimensions: 9.3 x 6.1 x 1.0 inches

About the Book

In this seminal work, Homological Algebra, Saunders MacLane offers an authoritative treatment of homological algebra, a subject that emerged from various branches of algebra and topology. The book presents a comprehensive exploration of homological ideas that have applications in both algebra and topology, making it an invaluable resource for advanced students and researchers alike.

MacLane, a key figure in the development of category theory and homological algebra, acknowledges the collaborative efforts that contributed to this book, including his work with notable mathematicians such as Otto Schilling and Samuel Eilenberg. The text is a culmination of many years of research and intellectual exchange, particularly in the context of group extensions, factor sets, and their topological applications.

The book also highlights the important contributions of the Air Force Office of Scientific Research, which supported MacLane’s research. With numerous illustrations and clear, precise explanations, MacLane’s treatment of the subject provides readers with the necessary background in homological algebra, touching upon key concepts like group extensions and their applications.

Through its detailed and well-structured approach, Homological Algebra continues to be a foundational text in the field, widely recognized for its clarity and depth. Whether you are a student of mathematics or a seasoned researcher, this book is an essential resource for understanding the intricate relationships between algebraic structures and topological applications.