Book: Framed combinatorial topology

Comments first published

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Idea

The book roughly contains:

  • Ch. 1 : discussion of framed combinatorial-topological structures based on the idea of “affine framed combinatorics”
  • Ch. 2 - 3 : classification of framed regular cells via the theory of trusses
  • Ch. 4 - 5 : discussion local, framed, stratifed structures
  • App. A: linear algebraic discussion of “metric-free orthonormal frames”
  • App. B: review of elementary notions in stratified topology

It does not contain:

  • An in-depth discussion of global framed combinatorial-topological spaces
  • Higher Category Theory

Incomplete to-do list

  • De-clutter chapter 1 (e.g. move proframes to chapter 3 entirely)
  • harmonize framed topological models in chapter 1 und mesh discussion in chapter 4
  • streamline App. B
  • … fix more mistakes :-)

See also

Updated: