MATH 7780, Advanced Algebraic Topology I, Fall Semester 2012

Instructor: Krystyna Kuperberg
Office: PKH 238
Class, PKH 320: MWF, 2:00pm - 2:50pm
Office Hours, PKH 238: MWF 1:00pm-ca. 1:50pm; or by appointment

Textbook: Differential Forms in Algebraic Topology by Raoul Bott and Loring Tu

Brief notes or summaries (some links may not be active yet).

  1. Singular homology
  2. A special case of CW complexes
  3. Homotopy Extension Theorem
  4. Hurewicz Theorem
  5. Mayer Vietoris Sequence, part I
  6. de Rham complex
  7. Mayer Vietoris Sequence, part II
Other sources (newer editions as well as electronic versions may exist):