[Self-portrait]

Course 421 - Algebraic Topology

Lecture Notes for the Academic Year 2008-9

The following sets of notes are currently available online:

Non-Examinable Material 2008-9

Candidates will not be examined on section 8 (Modules) in 2009.

Candidates will not be examined on subsections 4.5 to 4.7 (from Lemma 4.18 to Corollary 4.26).

Candidates will not be examined on subsection 10.3 (The Mayer-Vietoris Sequence)

Selected 421 Examination Papers

Worked Solutions for some 421 Examination Papers

Lecture Notes for the Academic Year 2002-3

The following lecture notes for the academic year 2002-3 are currently available:-

Michaelmas Term 2002
[DVI], [PDF], [PostScript]
Hilary Term 2003
[DVI], [PDF], [PostScript]

Problem Sets for the Academic Year 2002-3

The following problems sets for the academic year 2002-3 are currently available:-

Problems I
[DVI], [PDF], [PostScript]
Problems II
[PDF], [PostScript]

Lecture Notes for the Academic Year 1998-9

The lecture notes for course 421 (Algebraic topology), taught at Trinity College, Dublin, in the academic year 1998-1999, are available also here. (Note that the syllabus for the course as taught that year differs from the current syllabus.)

The course consisted of four parts:-

Part I: Topological Spaces
[DVI], [PDF], [PostScript]
Part II: Covering Maps and the Fundamental Group
[DVI], [PDF], [PostScript]
Part III: Simplicial Homology Theory
[DVI], [PDF], [PostScript]
Part IV: The Topological Classification of Closed Surfaces
[PostScript]

Lecture Notes for Michaelmas Term 1988

The lecture notes for part of course 421 (Algebraic topology), taught at Trinity College, Dublin, in Michaelmas Term 1988 are also available:

In 1988 the course included material on the construction of covering maps over locally simply-connected topological spaces. In particular, it was shown that, given any of subgroup of the fundamental group of a locally simply-connected topological space, one can construct a corresponding covering space whose fundamental group is isomorphic to that subgroup.


Lecture notes for undergraduate courses

Dr. David R. Wilkins
School of Mathematics, Trinity College, Dublin 2, Ireland
dwilkins@maths.tcd.ie