TOPOLOGY AND ANALYSIS

MAT3TA

Not currently offered

Credit points: 15

Subject outline

This subject begins with a careful discussion of the various set theoretical results that are required for the subsequent material. This is followed by a discussion of the theory of metric spaces. The most basic properties of open sets in metric spaces can be used to motivate a more generally applicable definition of open sets, which leads to the idea of a topological space. A study of fundamental concepts in the theory of topological spaces such as compactness and connectedness yields results of very general application. In particular, they can be applied to problems in the analysis of the real numbers. The subject concludes with a discussion of quotients and products of topological spaces.

FacultyFaculty of Science, Tech & Engineering

Credit points15

Subject Co-ordinatorGrant Cairns

Available to Study Abroad StudentsYes

Subject year levelYear Level 3 - UG

Exchange StudentsYes

Subject particulars

Subject rules

Prerequisites MAT2ANA or MAT2AAL

Co-requisitesN/A

Incompatible subjectsN/A

Equivalent subjectsN/A

Special conditionsN/A

Readings

Resource TypeTitleResource RequirementAuthor and YearPublisher
ReadingsTopology and AnalysisPrescribedPrinted subject text available from University Bookshop.N/A

Subject options

Select to view your study options…

Start date between: and    Key dates

Subject not currently offered - Subject options not available.