Institutionernas doktorandkurser

Startdatum och periodicitet för kurser kan variera. Se detaljer för respektive kurs för aktuell information. För anmälan, kontakta respektive kursansvarig.


Topology

  • Kurskod: FMVE055
  • ECTS-poäng: 7,5
  • Institution: MATEMATISKA VETENSKAPER
  • Forskarskola: Matematik
  • Startdatum: 2016-01-18
  • Slutdatum: 2016-03-11
  • Periodicitet: Lp3, varje år
  • Undervisningsspråk: Kursen kommer att ges på engelska
Basic introduction to topology with a geometric flavour. The concepts of a topological space and continuous functions are introduced and their general properties discussed. In particular compactness, various forms of conectedness and separation axioms are covered as well as quotient spaces. Examples include topological groups and group actions on spaces. The fundamental group of a space is constructed and used to obtain some classical low-dimensional results in geometry. Simplicial spaces are defined and the simplicial approximation theorem proved.

For more information, see the course homepage:

http://www.math.chalmers.se/Math/Grundutb/GU/MMA100/S16/
Litteratur
Föreläsare
Genkai Zhang
Mer information
Genkai Zhang, genkai@chalmers.se

Publicerad: to 14 okt 2010. Ändrad: on 23 aug 2017