Lecture notes for 18.199: Fall 1996

Richard B. Melrose

• Contents
• Lecture 1: Manifolds with corners,
  Thursday Sept 5
  • Extrinsic definition
  • Model spaces
  • Intrinsic definition
  • Products
  • Manifolds with boundary
  • Compactification
  • Blow up
• Lecture 2: ,
  Tuesday September 10
• Lecture 3: ,
  Thursday September 12
• Lecture 4: b-maps,
  Tuesday Sept 17
  • b-vector fields
  • b-maps defined
  • Interior b-maps
  • Examples of b-maps
  • b-normal maps
  • The b-differential
  • b-submersions
• Lecture 5; ,
  Thursday September 19
  • Recap
  • b-fibrations
  • fibrations
  • Restriction properties
  • Lifting of vector fields
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