jaj•a•person's notes

Frank Loose

Algebraische Topologie

https://www.math.uni-tuebingen.de/de/forschung/maphy/lehre/ws-2023-24/altop/dateien/algtop_01-24.pdf

Backlinks

  • A covering is regular iff its deck transformation group acts transitively on fibres
  • Chain complex
  • Chain map
  • Connectedness
  • Contractible space
  • Correspondence between regular coverings and orbit spaces of their deck transformation groups
  • Deck transformation group of a regular covering as quotient
  • Deck transformation
  • Degree of a circle endomorphism
  • Exact sequence
  • Five lemma
  • Hausdorff space
  • Lift of a map to a covering space
  • Limit points are limits of convergent subsequences in a first-countable space
  • Limit points are points contained in the closure of every end piece
  • Locally path connected spaces have identical connected and path-connected components
  • Orbit space of a properly discontinuous group action
  • Products and coproducts
  • Sheet number of a connected covering
  • Split short exact sequence
  • Subspace topology

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