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   <<< This course is not offered in 2017 - 2018. Course details are subject to change. >>>
MATH6504 Geometric topology (6 credits) Academic Year 2017
Offering Department Mathematics Quota ---
Course Co-ordinator TBC, Mathematics
Course Aim This course gives a geometric introduction to some of the methods of algebraic topology. The emphasis throughout will be on the geometric motivations and applications of the theory.
Course Contents - Continuity. Compactness. Connectedness. The fundamental group. Triangulations and classification of surfaces. Theory and applications of simplicial homology. Theory of covering spaces. Theory of attaching spaces.
Learning Outcomes On successful completion of the course, students should be able to:
- understand basic ideas and constructions which are important both in pursuing the deeper theories as well as in many applications in algebraic topology;
- understand the ideas of attaching space, complexes, lifting and extension properties, and surgery on manifolds.
Pre-requisites Pass in (MATH1101 and MATH1102 and MATH1201 and MATH1202 and MATH2301 and MATH2401) or (MATH1111 and MATH1211 and MATH2201 and MATH2301 and MATH2401)
Offer in 2017 - 2018 Not offered Examination  
Offer in 2018 - 2019 N
Teaching Hours 36 hours of lectures and student-centered learning
Assessment Method One 2.5-hour written examination (50% weighting) together with coursework assessment (50% weighting)
Course Grade A+ to F
Textbooks To be decided by the course instructor.
References M.A. Armstrong: Basic Topology (Springer-Verlag UTM)
J. Rotman: An Introduction to Algebraic Topology (Springer-Verlag GTM)
Course Website NIL
Remarks NIL
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