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Document Outline

• Frontmatter
• Chapter I Introduction to General Topology
• Chapter II Additive Groups
• Chapter III Complexes
• Chapter IV Complexes: Products. Transformations. Subdivisions
• Chapter V Complexes: Multiplications and Intersections. Fixed Elements. Manifolds
• Chapter VI Nets of Complexes
• Chapter VII Homology Theory of Topological Spaces
  • 1. Homology theory: foundations and general properties
  • 2. Relations between connectedness and homology
  • 3. Groups related to webs
  • 4. Groups related to the union and intersection of two sets
  • 5. The Vietoris homology theory for compacta
  • 6. Reduction of the Vietoris theory to the Cech theory
  • 7. Homology theories of Kurosch and of Alexander-Kolmogoroff
• Chapter VIII Topology of Polyhedra and Related Questions
• Endmatter

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