An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119)

A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.

• Algebraic Topology
• An Introduction to Homological Algebra (Universitext)
• Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60)
• Linear Algebra Done Right (Undergraduate Texts in Mathematics)
• Representation Theory: A First Course (Graduate Texts in Mathematics)
• Gravitation
• Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218)
• Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)
• Algebra (Graduate Texts in Mathematics)
• Differential Forms in Algebraic Topology (Graduate Texts in Mathematics)