MATH428-21S2 (C) Semester Two 2021

Topology

15 points

Details:
Start Date: Monday, 19 July 2021
End Date: Sunday, 14 November 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 1 August 2021
  • Without academic penalty (including no fee refund): Friday, 1 October 2021

Description

Topology

Topology, colloquially known as “rubber-sheet geometry”, is the study of continuity in an abstract
setting. Topological notions underpin, or are used in, many areas of mathematics, both pure and applied. In this course, we study some of the main concepts of point set topology, and provide a
brief introduction to algebraic topology.

The topics will cover: Metric and topological spaces; continuous functions and homeomorphism; compact and connected spaces; quotient and product topology; surfaces, manifolds and knots; homotopy, the fundamental group and applications.

Pre-requisites

Subject to approval of the Head of School.

Timetable 2021

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Wednesday 10:00 - 11:00 Jack Erskine 505
19 Jul - 29 Aug
13 Sep - 24 Oct
Lecture B
Activity Day Time Location Weeks
01 Thursday 12:00 - 13:00 Jack Erskine 505
19 Jul - 29 Aug
13 Sep - 24 Oct
Tutorial A
Activity Day Time Location Weeks
01 Thursday 15:00 - 16:00 Jack Erskine 505
19 Jul - 29 Aug
13 Sep - 24 Oct

Course Coordinator / Lecturer

Mike Steel

Assessment

Assessment:
Three assignments, each worth 17%
Final exam, worth 49%

Textbooks / Resources

Recommended texts:
Topology, Klaus Jänich, Springer-Verlag, 1984
Basic Topology, M. A. Armstrong. Springer, 1983.
Renzo’s Math490, .pdf available online.

Indicative Fees

Domestic fee $1,000.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH428 Occurrences

  • MATH428-21S2 (C) Semester Two 2021