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Module MA3428: Algebraic Topology II
- Credit weighting (ECTS)
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5 credits
- Semester/term taught
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Hilary term 2014-15
- Contact Hours
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11 weeks, 3 lectures including tutorials per week
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- Lecturer
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Prof. David Wilkins
- Learning Outcomes
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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
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- Simplicial complexes;
- Simplicial homology groups;
- Basic homological algebra;
- Applications of exact sequences in simplicial homology.
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- 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
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This module will be examined in a 2-hour examination
in Trinity term.
