Topology

Victoria University of Wellington

Course Description

  • Course Name

    Topology

  • Host University

    Victoria University of Wellington

  • Location

    Wellington, New Zealand

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • Prerequisites

    MATH 211

  • Course Level Recommendations

    Upper

    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • Credit Points

    15
  • Recommended U.S. Semester Credits
    3 - 4
  • Recommended U.S. Quarter Units
    4 - 6
  • Overview

    An introduction to topological spaces and their continuous transformations, emphasising their visual and 'rubber sheet geometry' aspects and proofs of theorems about them. Topics include the basic concepts of general topology; construction of new spaces from old; and description of special spaces like the torus, Klein bottle and Mobius band.

    Course learning objectives
    Students who pass this course should be able to:

    • Understand basic ideas of general topology, such as open sets, closed sets, interiors, continuous functions, homeomorphisms, compactness, connectedness, and homotopy; and conduct correct arguments using these concepts.
    • Construct new topological spaces from given ones by such operations as formation of subspaces, products and quotients.
    • Describe important examples of spaces, including the torus, Klein bottle, Mobius band and projective plane.
    • Appreciate the distinctively geometric aspect of topological thinking and its application to knowledge in other areas, such as analysis.

Course Disclaimer

Courses and course hours of instruction are subject to change.

Eligibility for courses may be subject to a placement exam and/or pre-requisites.

Some courses may require additional fees.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Availability of courses is based on enrollment numbers. All students should seek pre-approval for alternate courses in the event of last minute class cancellations

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.