Algebraic topology is a basic part of modern mathematics, and some
knowledge of this area is indispensable for any advanced work relating
to geometry, including topology itself, differential geometry, algebraic
geometry, and Lie groups. This book provides a detailed treatment of
algebraic topology both for teachers of the subject and for advanced
graduate students in mathematics either specializing in this area or
continuing on to other fields.J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
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