MA 4215, Spring 2000
Introduction to Algebraic Topology
Lecturer: Wu Jie
firstname.lastname@example.org , Phone: 874-4940.
Office: S14, #04-07, Faculty of Science, Lower Kent
Prerequisites:MA3213 (#) or MA3251
You should consult the academic advisors on matters related to selection
of modules. The
academic advisors of level 4000 mathematics
modules are A/P A/P Choi Kwok Pui and A/P Fred Leung Pui Fai.
Continuous assessment, consisting of participation at tutorials and one
midterm tests during the term, determines 20% of the marks. The final
examination determines the remaining 80% of the marks.
NO MAKE-UP TESTS
Review of metric and topological spaces. Constructions and universal
properties, product space, subspace and quotient space, collapsing, smash
product and orbit spaces. Locally compact Hausdorff spaces and
identification maps, compact-open topology.
Paths, path-related points, path-components. Path-equivalence of paths,
the fundamental group and groupoid, change of basepoint, change of space.
Homotopy, simply-connected and contractible spaces, simple-connectedness
of Sn . Homotopy invariance of fundamental group. Covering
properly discontinuous group actions. Lifting theorems. Applications,
including Fundamental Theorem of Algebra, Borsuk-Ulam Theorem.
Properly discontinuous actions and classification of covering spaces.
| DAY || TIME ||
| Tuesday || 1-3 pm
||S13 04-02 |
| Wednesday || 12-2 pm
|| S13 04-02 |
Lecture will begin in the week of 3 January 2000.
Feedback on matters related to the course will be welcome. Please send