MAGIC009: Category Theory

Course details

Semester

Autumn 2009
Monday, October 5th to Friday, December 11th

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
0

Timetable

Wednesdays
13:05 - 13:55

Description

The course is designed to introduce you to the basics of category. The topics covered are:
  • Basic definitions and gadgetry
  • Functors and natural transformations
  • Adjunctions
  • Limits and colimits
There is a full set of notes with many examples and exercises. Most of these do not require much specialist knowledge of other parts of mathematics.
The notes and lecture slides from last year are still available on the MAGIC site and on my personal web page. The notes have been modified and no doubt some of the lectures will change, so eventually last years material will disappear.

Prerequisites

No prerequisites information is available yet.

Syllabus

  • Categories: basic definitions and examples from algebra, logic, set theory, and topology, plus pointed cases, ...
  • Functors: many examples in the above contexts.
  • Natural transformations: further examples as above.
  • Adjunctions: theory, plus a detailed discussion of examples such as function set and product in sets, loop and suspension in pointed spaces, ...
The notes accompanying the course will contain additional examples of a non-superficial kind to illustrate these notions. The lectures will deal with those examples which best suit the interests of the audience.

Lecturer

  • HS

    Dr Harold Simmons

    University
    University of Manchester

Bibliography

No bibliography has been specified for this course.

Assessment

Attention needed

Assessment information will be available nearer the time.

Files

Only consortium members have access to these files.

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Lectures

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