MD107 Simplicial sets

Faculty of Science
Spring 2012
Extent and Intensity
2/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. Lukáš Vokřínek, PhD. (lecturer)
Guaranteed by
doc. Lukáš Vokřínek, PhD.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. Lukáš Vokřínek, PhD.
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 13:00–14:50 M6,01011
Course Enrolment Limitations
The course is offered to students of any study field.
Syllabus
  • simplicial sets and the interplay between their algebraic and geometric nature
  • the homotopy theory of simplicial sets
  • simplicial sets as a model for topological spaces
  • nerves of categories, classifying spaces of groups
  • simplicial objects in categories (other than sets)
  • simplicial abelian groups = non-negatively graded chain complexes
  • constructing resolutions by simplicial methods
  • homotopy colimits, Quillen's theorems
  • further topics depending on the interests of the audience (and myself)
Language of instruction
English
Further Comments
The course is taught only once.
The course is also listed under the following terms Autumn 2019.
  • Enrolment Statistics (Spring 2012, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2012/MD107