Contact: Chris Bourne cbourne [at] nagoya-u.jp, bourne.christopher.jack.x7 [at] f.mail.nagoya-u.ac.jp
Office Hours: Thursdays 12:00–13:30 @ Cafe David, 2F Math Bldg (D3④ on the Campus Map). Or by appointment.
Location: Room 419, Humanities Building (A4② on the Campus Map)
授業の参加・受講は大歓迎です！友達と一緒に参加すると，英語での授業のハードルが低くなり，授業も楽しくなると思います．またNU-EMIプロジェクトのおかげで，留学生のチューターによるサポートが無料で提供されています．以下の動画をご覧ください．
Bright (受講した経験), NU-EMI Projectの紹介
Lecture notes in preparation
Metric spaces
- open/closed sets
- continuity and completeness
- compactness
Topological spaces
- open/closed sets, bases, separation axioms
- continuous maps and homeomorphisms
- subspaces, product spaces and quotient spaces
- compactness and connectedness
Homotopy
- homotopic paths and the fundamental group
- the Euler characteristic
- covering spaces
- higher dimensional homotopy
Online (free) lecture notes:
- Notes by Laura J. Person
- Notes by Renzo Cavalieri
- Notes by Richard Palais
- Notes by Allen Hatcher
MIT Open CourseWare
- Introduction to Metric Spaces
- Introduction to Topology
Textbooks
- Theodore W. Gamelin and Robert E. Greene, Introduction to Topology (2nd edition), Dover Publications, 1999
- Martin D. Crossley, Essential Topology, Springer, 2005
- James R. Munkres, Topology, Prentice Hall, 2000
In preparation