Algebraic Topology

Start reading → chapter prime

1. Front matter
   1. Introduction
   2. Instructions for use
2. ICoverings
   1. chapter prime
   2. § 1. Fibred products and cartesian squares44
   3. § 2. Étale mappings47
   4. § 3. Sheaves35
   5. § 4. Coverings50
   6. § 5. Principal fibre spaces58
   7. § 6. Simply connected spaces37
3. IIGroupoids
   1. Chapter II
   2. § 1. Quivers2
   3. § 2. Graphs5
   4. § 3. Groupoids40
   5. § 4. Homotopies15
   6. § 5. Coequalizer22
4. IIIHomotopy and Poincaré groupoid
   1. Chapter III
   2. § 1. Homotopies, homeotopies55
   3. § 2. Homotopy and paths63
   4. § 3. Poincaré groupoid27
   5. § 4. Homotopy and coverings16
   6. § 5. Homotopy and coverings (case of locally arcwise connected spaces)23
5. IVContractible Spaces
   1. Chapter IV
   2. § 1. Simply connected spaces20
   3. § 2. Poincaré groups of unravelable spaces30
   4. § 3. Poincaré groups of topological groups21
   5. § 4. Theory of descent29
   6. § 5. Van kampen theorem31
   7. § 6. Classifying spaces32