The following sets of notes are currently available online:

- Section 1: Topological Spaces [PDF]
- Section 2: Homotopies and the Fundamental Group [PDF]
- Section 3: Covering Maps and the Monodromy Theorem [PDF]
- Section 4: Covering Maps and Discontinous Group Actions [PDF]
- Section 5: Simplicial Complexes [PDF]
- Section 6: Simplicial Homology Groups [PDF]
- Section 7: Homology Calculations [PDF]
- Section 8: Modules [PDF]
- Section 9: Introduction to Homological Algebra [PDF]
- Section 10: Exact Sequences of Homology Groups [PDF]

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)

- Annual Examination 1993 [PDF]
- Annual Examination 1995 [PDF]
- Annual Examination 1999 [PDF] [PostScript]
- Annual Examination 2003 [PDF] [PostScript]
- Annual Examination 2005 [PDF] [PostScript]
- Annual Examination 2007 [PDF] [PostScript]
- Annual Examination 2009 [PDF] [PostScript]

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]

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

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

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]

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. WilkinsSchool of Mathematics, Trinity College, Dublin 2, Ireland