MATH428-20S1 (C) Semester One 2020

Topology

15 points

Details:
Start Date: Monday, 17 February 2020
End Date: Sunday, 21 June 2020
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 28 February 2020
  • Without academic penalty (including no fee refund): Friday, 29 May 2020

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.

Prerequisites

Subject to approval of the Head of School.

Course Coordinator / Lecturer

Mike Steel

Assessment

Assessment:
Two assignments, each worth 20%
Final exam, worth 60%

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 $989.00

* 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

  • MATH428-20S1 (C) Semester One 2020
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