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Module MA3428: Algebraic Topology II

Credit weighting (ECTS)
5 credits
Semester/term taught
Hilary term 2014-15
Contact Hours
11 weeks, 3 lectures including tutorials per week
Lecturer
Prof. David Wilkins
Learning Outcomes
On successful completion of this module, students will be able to:
  • justify with reasoned logical argument basic properties of simplicial complexes and their homology groups;
  • determine the homology groups of simplicial complexes where the number of simplices is small;
  • justify with reasoned logical argument basic properties of chain complexes and their homology;
  • employ exact sequences of homology groups in order to derive information on the homology groups of simplicial complexes.
Module Content
  • Simplicial complexes;
  • Simplicial homology groups;
  • Basic homological algebra;
  • Applications of exact sequences in simplicial homology.
 
Module Prerequisite
MA1214 (Introduction to Group Theory), and at least one of the modules MA2223, MA2321 and MA3427. (Note that MA3427 is not a prerequisite for MA3428.)
Assessment Detail
This module will be examined in a 2-hour examination in Trinity term.